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  Partner: UNT Libraries
 Department: Department of Mathematics
 Collection: UNT Theses and Dissertations
Semitopological Groups

Semitopological Groups

Date: December 1971
Creator: Scroggs, Jack David
Description: This thesis is a study of semitopological groups, a similar but weaker notion than that of topological groups. It is shown that all topological groups are semitopological groups but that the converse is not true. This thesis investigates some of the conditions under which semitopological groups are, in fact, topological groups. It is assumed that the reader is familiar with basic group theory and topology.
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Uniform Locally Compact Spaces

Uniform Locally Compact Spaces

Date: December 1971
Creator: Page, Perman Hutson
Description: The purpose of this paper is to develop some properties of uniformly locally compact spaces. The terminology and symbology used are the same as those used in General Topology, by J. L. Kelley.
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Linear First-Order Differential-Difference Equations of Retarded Type with Constant Coefficients

Linear First-Order Differential-Difference Equations of Retarded Type with Constant Coefficients

Date: August 1967
Creator: Pyeatt, Cynthia R.
Description: This paper is concerned with equations in which all derivatives are ordinary rather than partial derivatives. The customary meanings of differential order and difference order of an equation are observed.
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Peripherally Continuous Functions, Graph Maps and Connectivity Maps

Peripherally Continuous Functions, Graph Maps and Connectivity Maps

Date: August 1967
Creator: Evans, Bret Edgar
Description: The purpose of this paper is to investigate some of the more basic properties of peripherally continuous functions, graph maps and connectivity maps.
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Extensions of Modules

Extensions of Modules

Date: August 1967
Creator: Chen, Paulina Tsui-Chu
Description: This thesis discusses groups, modules, the module of homomorphisms, and extension of modules.
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Some Properties of the Fibonacci Numbers

Some Properties of the Fibonacci Numbers

Date: June 1967
Creator: Willey, Wm. Riley
Description: This thesis is presented as an introduction to the Fibonacci sequence of integers. It is hoped that this thesis will create in the reader more interest in this type of sequence and especially the Fibonacci sequence. It seems that this particular area of mathematics is often ignored in the classroom or touched upon far too briefly to stimulate curiosity and develop further interest in this field.
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A Study of Functions on Metric Spaces

A Study of Functions on Metric Spaces

Date: January 1968
Creator: Brice, Richard S.
Description: This thesis describes various forms of metric spaces and establishes some of the properties of functions defined on metric spaces. No attempt is made in this paper to examine a particular type of function in detail. Instead, some of properties of several kinds of functions will be observed as the functions are defined on various forms of metric spaces such as connected spaces, compact spaces, complete spaces, etc.
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Ideals in Semigroups

Ideals in Semigroups

Date: January 1965
Creator: Rodgers, Samuel A.
Description: This thesis investigates ideals in semigroups.
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Concerning linear spaces

Concerning linear spaces

Date: June 1965
Creator: Gilbreath, Joe
Description: The basis for this thesis is H. S. Wall's book, Creative Mathematics, with particular emphasis on the chapter in that book entitled "More About Linear Spaces."
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Compact Topological Spaces

Compact Topological Spaces

Date: June 1964
Creator: Conway, Thomas M.
Description: The purpose of this paper is to investigate some properties of compact topological spaces and to relate these concepts to the separation properties.
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