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2,581 Matching Results
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James Wintle's Northwest Miniatures for Flute, Trumpet and Piano (1998): a Performance Guide
James Wintle's, Northwest Miniatures for flute, trumpet and piano is a unique work in the chamber music repertoire. In addition, the use of auxiliary instruments makes this piece a rarity in the flute and trumpet chamber music repertoire. There are a limited number of resources presently available to performers regarding Northwest Miniatures.This dissertation provides a pedagogical performance guide addressing the inherent challenges for the flutist and this instrumentation and serves as a new resource for performers and scholars of this work. It provides a performance analysis of the piece along with pertinent pedagogical information and exercises to assist the flutist. Insight from the composer on how to address these challenges is also included. Because there are a limited number of scholarly resources available on the subject of flute and trumpet chamber music, this dissertation is a significant contribution to this genre of repertoire.
Date:
May 2013
Creator:
Walker, Julee Kim
System:
The UNT Digital Library
Determinants of the Applications to the Institutional Care in Turkey: Darulaceze Example
Although institutional care has started to be outmoded in the developed countries with development of different models of care, it still has a considerable place in the developing countries such as Turkey. This is because, changes in the demographic structure, extended family, and urban development of Turkey has brought about several aging problems leading older adults to end up in institutions. Loneliness was one of the significant reasons given in the Social Inquiry Survey of Applicants of Darulaceze Old-Age Institution and the basis for a micro level analysis in this study. Therefore, the main objective of the study was to determine the predictors of loneliness, including age, the state of living alone, functional independence, education, and gender. Analysis of the results indicated that these predictors have significant effects on the loneliness predominantly defined by social factors rather than medical factors. In addition, the meso and macro level analyses were employed to control the micro level analysis and see a general picture of institutional care. Thus, an academic example of diagnosing the main reasons behind the institutional care was presented to understand the context of aging in Turkey.
Date:
May 2013
Creator:
Esendemir, Serif
System:
The UNT Digital Library
Transfantasies for Flauto Traverso, Computer Music, and Dance
TransFantasies is an interdisciplinary composition for Baroque flute (flauto traverso), computer music, and dance. A crucial component of the work is an interactive hardware and software environment that provides the opportunity for the players to shape aspects of the work during the performance. This essay discusses the influences that inspired the work and presents an in-depth analysis of notable elements of the composition. Primary issues include compositional models for gesture-based composition, historical performance practices, interactivity, and relationships between music and dance. The final component of the essay details the software component designed to create the composition. It also discusses music technology in current practice and its role in this particular work. At its core, TransFantasies is concerned with those moments where computer-influenced decisions and human behaviors collide.
Date:
May 2013
Creator:
Fick, Jason
System:
The UNT Digital Library
Modeling Transition Metal Catalysts for Small Molecule Activation and Functionalization
There is a high demand for the development of processes for the conversion of ubiquitous molecules into industrially useful commodities. Transition metal catalysts are often utilized for the activation and functionalization of small organic molecules due to their diverse nature and proven utility with a myriad of chemical transformations. The functionalization of methane (CH4) and dinitrogen (N2) to methanol (CH3OH) and ammonia (NH3) respectively is of particular interest; however, both methane and dinitrogen are essentially inert due to the inherit strength of their bonds. In this dissertation a series of computational studies is performed to better understand the fundamental chemistry behind the functionalization of methane and the activation of dinitrogen in a homogeneous environment. A catalytic cycle is proposed for the oxy-functionalization of methane to methanol. The cycle consists of two key steps: (1) C-H activation across a metal-alkoxide bond (M-OR), and (2) regeneration of the M-OR species through an oxy-insertion step utilizing external oxidants. The C-H activation step has been extensively studied; however, the latter step is not as well understood with limited examples. For this work, we focus on the oxy-insertion step starting with a class of compounds known to do C-H activation (i.e., Pt(II) systems). Computational studies …
Date:
May 2013
Creator:
Figg, Travis M.
System:
The UNT Digital Library
Leader Developmental Readiness of Generation Y in the Training Industry
Members of Generation Y in the training and development industry will be required to assume leadership roles as Baby Boomers retire, yet little empirical research exists regarding how best to prepare them for leadership. The purpose of this study was to examine differences in leader developmental readiness between generational cohorts in the training industry, specifically Baby Boomers, Generation X, and Generation Y. Leader developmental readiness provided a definition of developmental readiness for leaders using the five constructs (learning goal orientation, developmental efficacy, self-awareness, leader complexity, and metacognitive ability). A volunteer sample was compiled from members of the ASTD National LinkedIN group (n = 636). Results were analyzed using structured means analysis with maximum likelihood (ML) estimation. Generational cohorts demonstrated differences in leader developmental readiness. Baby Boomers indicated statistically and practically higher metacognitive ability and developmental efficacy than Generation Y. Results demonstrated statistically and practically higher leader complexity in Generation Y and both Generation X and Baby Boomers. These results should inform leader development practitioners as they continue to use existing methods in preparing the different generations for leader development interventions while pointing to possible needs to increase the metacognitive ability and developmental efficacy in Generation Y and ensure accurate perception …
Date:
December 2012
Creator:
Garrigue, Marie
System:
The UNT Digital Library
Home Literacy Practices in Diverse Families: Parental Involvement in Kindergarten Children's Literacy Development
Although prior research has shown that parental involvement positively affects a child's literacy development, attention should also be directed to the factors that keep parents from being involved in their children's education. The study reported in this dissertation examined five factors: socioeconomic status, level of education, employment, culture, and language that may be influential in parental assistance of their children's literacy development in the home. The data sources for this investigation included interview responses and a demographic survey. Data from 17 parents, each from a different household, and each with a child in kindergarten were obtained and used for the study. For analyses of these data, content analysis was used to identify similar themes among the interview responses and the demographic survey. Results indicated the following: (1) the time parents spent assisting their child with literacy activities was affected by long work hours, (2) parents with a yearly income of $25,000 or less were unable to provide additional literacy materials for their children, (3) lack of multicultural literature caused culturally diverse parents to feel devalued, and (4) parents who did not speak English fluently lacked the strategies to assist their children in completing English literacy homework. The findings suggest there …
Date:
May 2013
Creator:
Gonzalez, Lauren
System:
The UNT Digital Library
Aging Is a Determinant in Anoxia Stress Tolerance in Caenorhabditis Elegans
Oxygen availability is critical for survival for most organisms. The nematode, C. elegans, has been useful for studying genetic regulation of anoxia tolerance due to the oxygen deprivation response mechanisms shared with other metazoans. Studies examining long-term anoxia (72h, LTA) tolerance have only been conducted at adult day 1. To investigate the effect of aging on anoxia tolerance wild-type and mutant strains were exposed to LTA between adult day 1 and day 9. Wild-type isolates and daf-16(mu86) (FOXO transcription factor regulated by insulin-signaling) and aak-2(gt33) (catalytic subunit of AMP-activated protein kinase) strains were anoxia sensitive at day 1 and displayed increased LTA tolerance with aging correlated with reproductive senescence followed by a decline in survivorhsip through day 9. The daf-2(e1370) (insulin receptor homologue of C. elegans), glp-1(e2141) (a lin-12/Notch receptor) and fog-2(q71) (required for spermatogenesis) strains were LTA-tolerant through day 5. I conclude that aging influences LTA-tolerance in a strain- and age-dependent manner. In addition to being LTA-tolerant the daf-2(e1370) and glp-1(e2141) strains have a longevity phenotype that is suppressed by loss of kri-1 or daf-12. While loss of kri-1 did not suppress the LTA-tolerant phenotype of glp-1(e2141) at day 1 the portion of impaired survivors increased at day 3 …
Date:
May 2013
Creator:
Goy, Jo M.
System:
The UNT Digital Library
Seeking Information After the 2010 Haiti Earthquake: a Case Study in Mass-fatality Management
The 2010 earthquake in Haiti, which killed an estimated 316,000 people, offered many lessons in mass-fatality management (MFM). The dissertation defined MFM in seeking information and in recovery, preservation, identification, and disposition of human remains. Specifically, it examined how mass fatalities were managed in Haiti, how affected individuals sought information about fatalities, and what needs motivated them. Data from 28 in-depth, partially structured interviews, conducted during two field visits ending 21 weeks after the earthquake, were included in a case study. The data analysis revealed the MFM was severely inadequate. One interviewee, a senior UN official, stated, "There was no fatality management." The analysis also indicated a need to learn whereabouts of the deceased motivated individuals to visit spots the deceased were last seen at. It sought to illumine information-seeking practices, as discussed in the works of J. David Johnson and others, by developing a new model of information flow in MFM. In addition, it reaffirmed Donald Case and Thomas Wilson's theoretical proposition – that need guides any seeking of information – in the case of Haiti. Finally, it produced recommendations regarding future directions in MFM for emergency managers and information scientists, including possible use of unidentified body parts in …
Date:
May 2013
Creator:
Gupta, Kailash
System:
The UNT Digital Library
A Performance Guide to Bernd Alois Zimmermann's Trumpet Concerto, "Nobody Knows De Trouble I See"
Bernd Zimmermann's Trumpet Concerto, "Nobody Knows de Trouble I See" is an important twentieth-century work for trumpet. Despite the stature of the composition, it has rarely been performed due to its considerable musical and technical demands. Integrating these diverse demands into a coherent performance requires careful consideration of the various performance practice consequences. The study begins by exploring the historical and musical context in which the work was written. It then considers the individual musical elements of the concerto. Finally, the study examines the performance practice implications of the work. The performance guide serves as a framework for making intelligent musical and technical decisions through context, analysis, and practical considerations.
Date:
May 2013
Creator:
Haley, Matthew
System:
The UNT Digital Library
Effects of a Prototypical Training Program on the Implementation of Systematic Observational Data Collection on Iep Objectives for the Core Deficits of Autism Spectrum Disorders
Legal mandates and best practice recommendations for the education of students with autism spectrum disorders (ASD) emphasize the importance of systematic, ongoing observational data collection in order to monitor progress and demonstrate accountability. The absence of such documentation in decision-making on instructional objectives indicates a weakness in bridging the research-to-practice gap in special education. Utilizing a multiple baseline design across participants, the current study evaluated the effects of a prototypical teacher training program (i.e., workshop, checklist, in-classroom training with feedback, and maintenance with a thinned schedule of feedback) on the frequency of data collection on core deficits of ASD and the use of data-based decision-making. Results indicate increases in daily mean frequency of data collection following intervention. Maintenance and generalization indicates variable responding across participants. Effect size (Cohen's d) indicates a large, clinically significant effect of the training program. Results are discussed in relation to training models, maintenance, and future research.
Date:
May 2013
Creator:
Harkins, Jessica L.
System:
The UNT Digital Library
Dario Castello's Music for Sackbut: the Sonate Concertate in Stil Moderno (1629)
Dario Castello's Sonate concertate in stil moderno is a collection of 29 trio sonatas in two volumes, with 10 of them employing the sackbut. These works represent a significant repertoire for the sackbut in an era where specific instrumentation was only starting to become a convention. While these pieces are often studied, performed and recorded in Europe, most American trombonists are not aware of their existence. This study seeks to acquaint the American trombonist with the sonatas of Castello and to provide performance suggestions for those less familiar with this genre. Chapter 1 presents a survey of the current literature on Castello. Chapter 2 provides an historical background for music in Venice in the early 17th century, while Chpater 3 focuses on the composer and his music for sackbut. Chapter 4 investigages the sonata in early 17th century Venice. Chapter 5 provides an insight into early baroque performance practice by discussing principles such as affect, tempo, ornamentation, diminution and articulation. Examples from the ten sonatas are used to illustrate these principles, providing the modern trombonist with a framework in which to study Castello's music. The final chapter discusses the implications of this study on the American trombone curriculum.
Date:
May 2013
Creator:
Hausback, Jason M.
System:
The UNT Digital Library
Measuring the Effectiveness of Transfer of Learning Constructs and Intent to Transfer in a Simulation-based Leadership Training Program
The purpose of business training programs is to improve performance, which improved performance changes leadership behaviors based on the knowledge, skills, and abilities (KSAs) learned in training. One of the most common criticisms of leadership training is the tendency to focus on teaching theory but not on applying theory into practice, that is, transfer of learning. Research usually ends at the point of identifying, describing, or measuring factors that influence transfer. Ongoing research must identify what constructs in the transfer of learning process should be effectively changed or managed. There is a gap in research on the degree to which performance improvement through KSAs learned in a simulation training program actually transfer to the work environment. Additional research is needed that examines the relationship between transfer of learning and intent to transfer, which are critical outcomes in the field of human resource management and development. The purpose of the study was to examine the relationship between intent to transfer and four constructs in the transfer of learning process during a simulation-based leadership training program. Participants completed self-report assessments that measured the relationships between intent to transfer and four constructs: ability, motivation, work environment, and learner readiness. A correlational design was …
Date:
May 2013
Creator:
Hix, Joanne W.
System:
The UNT Digital Library
Secondary Teachers’ Concerns about Response to Intervention: Using the Concerns-Based Adoption Model
This case study addressed the problem of implementing response to intervention (RTI) in general secondary education. To investigate this problem, one north Texas school's RTI implementation was examined using the theoretical framework of the concerns-based adoption model (CBAM) and defining RTI as the innovation. RTI-related practices were studied for 10 secondary teachers, two from each core subject (i.e., mathematics, English language arts, science, and social studies) and the fine arts who had been implementing RTI for several years. Data regarding participants' stages of concern about and levels of use of RTI were collected across three time intervals using the three diagnostic instruments of CBAM (i.e., Stages of Concern Questionnaire, Levels of Use interviews, and Innovation Configuration Checklist matrix), behavioral observations during instruction and RTI meetings, and structured exit interviews of participants. Overall, findings indicated that the secondary teachers were at similar stages of concern and levels of use of RTI. Teachers' RTI concerns scores remained highest in the Self phase and lowest in the Impact phase of concern at all three intervals of data collection. As levels of RTI use increased, observed RTI use increased; however, teachers' RTI levels of use scores remained in the early levels of RTI implementation …
Date:
May 2013
Creator:
Isbell, Laura J.
System:
The UNT Digital Library
Prek-6 Teachers' Beliefs About Inclusive Practices in the United States and South Korea: Cross Cultural Perspectives
The educational practice known as inclusion, which is based on values of equal opportunity and diversity, enables students with disabilities to attend the same general education classes as typically developing peers. Inclusion is a legal requirement in the United States and South Korea, but factors facilitating inclusion likely differ across countries. The purpose of the study was to examine PreK-6 school teachers' beliefs about inclusive practices in the United States and South Korea and to present a more informed direction for the future of inclusive education in both countries. Seventy-four teachers from the US and 54 from South Korea participated via email for this study employing surveys. Teachers provided their beliefs about inclusion items on the My Thinking About Inclusion (MTAI) scale, a 28-question instrument, and also provided information about their own gender, years of experience, education level, and teaching practices. A statistically significant difference was found between the teachers of the two nations for the full survey scale. The teachers' training area (i.e., general education or special education) in the US was significantly associated with the belief toward inclusion, and special education teachers in both countries were more agreeable to inclusion than general education practitioners were as shown by …
Date:
May 2013
Creator:
Jeong, Hyunjeong
System:
The UNT Digital Library
Community Resilience in Thailand: a Case Study of Flood Response in Nakhonsawan City Municipality
Natural disasters such as flooding often affect vast areas and create infinite demands that need to be addressed in the same time. The wide scopes and severe impacts of such catastrophes often exceed, if not overwhelm, capacity of the national government to handle. In such a situation, communities such as cities and neighborhoods need to rely on their own capacity (resources, strategies, and expertise) to respond to disaster impacts at least until external assistance can be reached. Thus, studying how communities can be resilient to the impacts of natural disasters is important because this would enhance their ability to respond to the next disaster better. Within the context of great flooding in Thailand in 2011, this dissertation investigated the factors that generated or enhanced resilience of flood stricken-communities in Thailand. Nakhonswan City Municipality was selected as the research site. Qualitative research methods were employed in this study. Data were collected using in-depth interview and focus group. Thirty-six participants (28 for in-depth interview and 8 for focus group interview) from various organizations were recruited using snowball and purposive sampling strategies. Interview data from the field research were transcribed, translated from Thai language to English, and then analyzed using open coding and …
Date:
May 2013
Creator:
Khunwishit, Somporn
System:
The UNT Digital Library
Motivating Factors for Philanthropy at a Ministry Preparation Graduate Institution
A qualitative case study was conducted to determine whether major donors to an institution of higher education that existed to prepare ministers and missionaries were perceived by the institution's leaders as motivated by organizational effectiveness, financial efficiency, or evaluations by donor watchdog agencies. The case study was conducted with the Graduate Institute of Applied Linguistics. The interview process was utilized to gain information individually from the president, a development consultant, an academic dean, and a former development director. Each participant was asked a series of 19 questions during the interview process. The results indicated that the leaders perceived that organizational effectiveness was a philanthropic motivator for major donors and measured it by the accomplishments of those who were trained at the institution. The results also indicated that the ministry preparation institution's leaders perceived financial efficiency to provide philanthropic motivation to major donors, though to a lesser degree than organizational effectiveness, and measured it by stewardship of funds. The results further indicated that the ministry preparation institution's leaders perceived that donor watchdog agency evaluations, specifically those of the Evangelical Council for Financial Accountability and Guidestar, provided philanthropic motivation for major donors. Additional research recommendations included studying how to report about organizational …
Date:
May 2013
Creator:
Reimer, Jay Paul
System:
The UNT Digital Library
Accreditation Facilitation Projects: Supporting High Quality Early Childhood Education and Care
High-quality early childhood education and care (ECEC) are linked to positive developmental outcomes for children. Systems have been created to define, measure and promote high-quality ECEC. National accreditation status is deemed the gold standard of a high-quality program, yet many centers are unable to achieve this without assistance. With the help of Accreditation Facilitation Projects (AFPs), many low-income centers are able to achieve accreditation. Centers collaborating with an AFP reap many benefits including financial support, ongoing training and mentoring, and guidance through the accreditation process. AFPs invest greatly in the centers they collaborate with and the longer the center takes to achieve accreditation, the more resources an AFP must expend. The purposes of this study were to understand if the educational level of center director, the total enrollment of a center, or the percentage of children receiving government subsidies could predict the time it takes for a center to complete the accreditation process while receiving assistance from an AFP, and to determine if there are differences in attitudes about program accreditation between center directors and early learning specialists who serve as accreditation mentors to the directors. Findings revealed that a) the higher educational level of program directors is associated with …
Date:
May 2013
Creator:
Reinke, Stephanie L.
System:
The UNT Digital Library
Self-regulated Learning Characteristics of Successful Versus Unsuccessful Online Learners in Thailand
The purpose of this study was to identify the existing level of self-regulated learning (SRL) among Thai online learners, to examine the relationship between SRL and academic achievement based on a) course completion and b) course grades, and to investigate differences in SRL as they correlate to demographic factors. A mixed-methods research design with modified MSLQ online surveys and semi-structured interviews was used during the process of data collection. One hundred eighty-eight of the 580 online learners enrolled in the certificate programs of the Thailand Cyber University Project responded to the surveys; 7 of these also participated in the interview process. The findings indicated that Thai online learners reported high levels of SRL characteristics. Independent sample t-test results revealed that successful learners were higher in SRL learning strategies than those who did not succeed the course. Results from multiple regression analyses indicated that critical thinking and time/study environmental management were significant predictors of academic course grade with a small effect size (R2 = .113). Comparison of mean differences revealed that some SRL characteristics were different among demographic subgroups determined by factors including gender, age range, marital status, and Internet use; female reported a significantly higher level of task value than …
Date:
May 2013
Creator:
Samruayruen, Buncha
System:
The UNT Digital Library
Parallels Between the Gaming Experience and Rosenblatt's Reader Response Theory
The world of literacy has expanded alongside technology, and new literacies are being used as an alternative or an addition to traditional text. By including video gaming as literacy, the connection can be made between students' multimodal world outside of school with the world of literacy they encounter in school. This study took two approaches of a content study and a case study. A collective case study was used to examine the gaming experience of participants with three commercial video games falling into three separate genres: Sims FreePlay (simulation); Halo 1 (first person shooter); and World of Warcraft (role playing game). The 15 gamers were placed into three sets of five participants for each video game, and interviews were conducted to explore the gaming experience in relation to stance and transaction, which are major components of Louise Rosenblatt's reader response theory. Limited research has been conducted regarding reader response theory and the new literacies; by using the reader response lens, the gaming experience was compared to the reading experience to add the new literacies to the existing literature on reader response. As a way to look at both the text and the experience, a content study examined three mainstream video …
Date:
May 2013
Creator:
Sanders, April
System:
The UNT Digital Library
An Examination of How 4-8 Preservice Teachers Understand and Implement Multicultural Concepts
Preparing teachers to teach in the diverse classroom has become one of the most important goals for universities and teacher training programs. The main purposes of this study included to examine what type of multicultural concepts were taught preservice teachers who sought certification in Grades 4-8 and how these preservice teachers understood and implemented multicultural concepts in their educational portfolios and coursework, field experiences, and student teaching. The population of the study consisted of 53 undergraduate, preservice teachers enrolled in the last two years of a 4-8 teacher certification program. A modified grounded theory methodology and interpretive approach was used in the analysis of the course syllabi, required readings and student coursework. The study found that this particular program exposed the preservice teachers to a significant number of multicultural concepts in preparation for teaching in the ethnically diverse schools in the area. In addition, the study looked at which of Grant and Sleeter's five multicultural approaches were found most often in the course syllabi and required readings, as well as the preservice teachers' portfolio artifacts, key assessments, and reflective writing samples. The research found the majority of the course syllabi and assigned readings covered concepts in the human relations and …
Date:
May 2013
Creator:
Schellen, Julie K.
System:
The UNT Digital Library
First Amendment Constraints of Public School Administrators to Regulate Off-campus Students' Speech in the Technology Age
In a world where students and teachers both rely on technology in the process of education, understanding the constraints of public school administrators to regulate off-campus student's speech is a vital issue. This dissertation focuses on ways to evaluate legal analysis of cases involved in off campus speech. The methodology of legal analysis is used to identify judicial reasoning concerning established legal principles pertaining to the constitutional right of public school students to freedom of expression, and the application of those principles to off-campus student expression delivered by electronic means. This research produces a number of key findings: Many lower court cases have favored with the students unless the school district could prove substantial disruption to the learning environment or a true threat existed due to the off campus speech. In addition, it is crucial for the districts to have concrete policies in place to educate the students about acceptable usage of technology. The main conclusions drawn from this research are that current approaches to punishing students for their offensive off campus speech does not uphold in the courts and administrators must be resilient to speech that may be unpleasant to them. This research also includes several recommendations for administrators …
Date:
May 2013
Creator:
Shahzad, Erum H.
System:
The UNT Digital Library
Piano-related Musculoskeletal Disorders: Posture and Pain
A healthy posture protects the body-supporting functions and prevents injuries by maintaining balance. Literature in performing arts medicine suggests that posture is an important component to prevent piano-playing related injuries. However, no known research studies have quantified, characterized, and compared pianists' sitting postures. The purpose of this study was to explore the relationship between playing postures and perceived pain among pianists. This study applied innovative approach using qualitative and quantitative methods, combined with three-dimensional motion captured technology. To examine risk factors related pianists' postures, three-dimensional motion-capture cameras recorded approximate 40 pianists' postures in various situations; data recordings were combined with a statistical method to investigate pain-posture correlations. Results reveal that the degrees of head-neck or body tilt angles are the tendency of risk factors for piano-playing related pain. Results from this study may have multiple practical implications among which are: (1) a risk factor pain, injury index, or indicator (2) a performance habits profile and (3) practice guide to prevention of piano-playing related musculoskeletal disorders.
Date:
May 2013
Creator:
Shamoto, Yoshiko
System:
The UNT Digital Library
Specter
This dissertation is a collection of poems preceded by a critical preface. The preface considers the major changes within the elegy from the traditional English elegy—the touchstone poems for this genre being Milton's "Lycidas," Shelley's "Adonais," and Tennyson's "In Memoriam"—to the contemporary elegy and argues that many of these changes showcase contemporary elegists' active refusal and reversal of the time-honored traditions of the form. The preface is divided into an introduction and three sections, each of which recognizes and explores one significant alteration—or reversal—to the conventions of the form as established by early English elegists. The first discusses the traditional elegiac tradition of consolation in which the speaker, after displaying a series of emotions in reaction to the death of a loved one, ultimately finds comfort in the knowledge that the deceased lives eternally in heaven. This convention is contrasted with a common contemporary rhetorical movement in which the speaker not only lacks comfort by the end of the poem, but often refuses any kind of consolation, preferring instead to continue his grief. The second recognizes and explores the traditional elegiac tradition in which the speaker, listing the virtues of the beloved, replaces the real, historical person with a symbol …
Date:
May 2013
Creator:
Sharpe, Mary Victoria
System:
The UNT Digital Library
Graev Metrics and Isometry Groups of Polish Ultrametric Spaces
This dissertation presents results about computations of Graev metrics on free groups and characterizes isometry groups of countable noncompact Heine-Borel Polish ultrametric spaces. In Chapter 2, computations of Graev metrics are performed on free groups. One of the related results answers an open question of Van Den Dries and Gao. In Chapter 3, isometry groups of countable noncompact Heine-Borel Polish ultrametric spaces are characterized. The notion of generalized tree is defined and a correspondence between the isomorphism group of a generalized tree and the isometry group of a Heine-Borel Polish ultrametric space is established. The concept of a weak inverse limit is introduced to capture the characterization of isomorphism groups of generalized trees. In Chapter 4, partial results of isometry groups of uncountable compact ultrametric spaces are given. It turns out that every compact ultrametric space has a unique countable orbital decomposition. An orbital space consists of disjoint orbits. An orbit subspace of an orbital space is actually a compact homogeneous ultrametric subspace.
Date:
May 2013
Creator:
Shi, Xiaohui
System:
The UNT Digital Library