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Properties of Limit Functions
The purpose of this paper is to investigate properties of functions which are limits of functions with prescribed properties. Chapter II asks the question "Does a function which is the limit of a sequence of functions each of which is endowed with a certain property necessarily have that property?"
Date:
December 1972
Creator:
Coppin, Anthony M.
System:
The UNT Digital Library
Topological Groups
In the study of groups and topological spaces, the properties of both are often encountered in one system. The following are common examples: groups with discrete topologies, the complex numbers with the usual topology, and matrix groups with metric topologies. The need for a study of how algebraic properties and topological properties affect one another when united and interrelated in one system soon becomes evident. Thus the purpose of this thesis is to study the interrelated group and topological space, the topological group.
Date:
December 1972
Creator:
Haffner, Ophelia Darleen
System:
The UNT Digital Library
Differentiation in Banach Spaces
This thesis investigates the properties and applications of derivatives of functions whose domain and range are Banach spaces.
Date:
December 1972
Creator:
Heath, James Darrell
System:
The UNT Digital Library
A Classification of Regular Planar Graphs
The purpose of this paper is the investigation and classification of regular planar graphs. The motive behind this investigation was a desire to better understand those properties which allow a graph to be represented in the plane in such a manner that no two edges cross except perhaps at vertices.
Date:
December 1972
Creator:
McCalla, Linda F.
System:
The UNT Digital Library