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Product and Function Spaces
In this paper the Cartesian product topology for an arbitrary family of topological spaces and some of its basic properties are defined. The space is investigated to determine which of the separation properties of the component spaces are invariant.
Date:
August 1971
Creator:
Barrett, Lewis Elder
System:
The UNT Digital Library
Rings of Continuous Functions
The purpose of this paper is to examine properties of the ring C(X) of all complex or real-valued continuous functions on an arbitrary topological space X.
Date:
August 1971
Creator:
Connell, Carolyn
System:
The UNT Digital Library
On Lane's Integral
The problem and purpose of this paper is to develop Lane's Integral in two-space, and then to expand these concepts into three-space and n-space. Lane's Integral can be used by both mathematicians and statisticians as one of the tools in the calculation of certain probabilities and expectations. The method of presentation is straightforward with the basic concepts of integration theory and Stieltjes Integral assumed.
Date:
August 1971
Creator:
Hill, William James
System:
The UNT Digital Library
Some Properties of Valuation Rings
This thesis investigates some of the properties of valuation rings. It is assumed that the reader is familiar with the basic properties of commutative rings and ideals in rings. Unless otherwise stated, all rings considered in this thesis are commutative rings with a unity.
Date:
August 1971
Creator:
Miller, Linda C.
System:
The UNT Digital Library