UNT Libraries - 9 Matching Results

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open access

Borel Sets and Baire Functions

Description: This paper examines the relationship between Borel sets and Baire functions.
Date: January 1970
Creator: Wemple, Fred W.
open access

Convex Sets in the Plane

Description: 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.
open access

An Invariant Integral Over a Compact Topological Group

Description: 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.
open access

Prime Ideals in Commutative Rings

Description: This thesis is a study of some properties of prime ideals in commutative rings with unity.
Date: August 1970
Creator: Clayton, Marlene H.
open access

Separation Properties

Description: 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
open access

Two Axiomatic Definitions of the Natural Numbers

Description: 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
open access

Valuations and Places

Description: The purpose of this paper is devoted to investigating some fundamental properties of valuations and places.
Date: January 1970
Creator: Lo, Louis M. T.
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