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Borel Sets and Baire Functions
This paper examines the relationship between Borel sets and Baire functions.
Date:
January 1970
Creator:
Wemple, Fred W.
System:
The UNT Digital Library
Valuations and Places
The purpose of this paper is devoted to investigating some fundamental properties of valuations and places.
Date:
January 1970
Creator:
Lo, Louis M. T.
System:
The UNT Digital Library
Convex Sets in the Plane
The purpose of this paper is to investigate some of the properties of convex sets in the plane through synthetic geometry.
Date:
June 1970
Creator:
McPherson, Janie L.
System:
The UNT Digital Library
The Order Topology on a Linearly Ordered Set
The purpose of this paper is to investigate from two viewpoints an order-induced topology on a set X.
Date:
June 1970
Creator:
Congleton, Carol A.
System:
The UNT Digital Library
Two Axiomatic Definitions of the Natural Numbers
The purpose of this thesis is to present an axiomatic foundation for the development of the natural numbers from two points of view. It makes no claim at originality other than at the point of organization and presentation of previously developed works.
Date:
June 1970
Creator:
Rhoads, Lana Sue
System:
The UNT Digital Library
An Invariant Integral Over a Compact Topological Group
The purpose of this paper is to develop an invariant integral for a compact topological group and, then to use that integral to prove the fundamental Peter-Weyl Theorem.
Date:
August 1970
Creator:
Nelson, John D.
System:
The UNT Digital Library
Prime Ideals in Commutative Rings
This thesis is a study of some properties of prime ideals in commutative rings with unity.
Date:
August 1970
Creator:
Clayton, Marlene H.
System:
The UNT Digital Library
Some Properties of Commutative Rings Without a Unity
This thesis investigates some of the properties of commutative rings which do not necessarily contain a multiplicative identity (unity).
Date:
August 1970
Creator:
Stevens, Charles S.
System:
The UNT Digital Library
Separation Properties
The problem with which this paper is concerned is that of investigating a class of topological properties commonly called separation properties. A topological space which satisfies only the definition may be very limited in open sets. By use of the separation properties, specific families of open sets can be guaranteed.
Date:
December 1970
Creator:
Garvin, Billy Ray
System:
The UNT Digital Library