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  Partner: UNT Libraries
 Department: Department of Mathematics
 Collection: UNT Theses and Dissertations
Borel Sets and Baire Functions

Borel Sets and Baire Functions

Date: January 1970
Creator: Wemple, Fred W.
Description: This paper examines the relationship between Borel sets and Baire functions.
Contributing Partner: UNT Libraries
Regular Semigroups

Regular Semigroups

Date: August 1967
Creator: Penn, Howard L.
Description: This thesis describes semigroups and the properties of both regular and inverse semigroups.
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Linear Algebras

Linear Algebras

Date: August 1961
Creator: Smith, Nickie Lee
Description: This paper is primarily concerned with the fundamental properties of a linear algebra of finite order over a field. A discussion of linear sets of finite order over a field is used as an introduction to these properties.
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Measure Functions

Measure Functions

Date: August 1965
Creator: Ottwell, Otho F.
Description: This thesis examines measure functions. A measure function has as its domain of definition a class of sets. It also must satisfy a certain additive condition. To state a concise definition of a measure function, it is convenient to define set function and completely additive set function.
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Elliptic Geometry

Elliptic Geometry

Date: January 1966
Creator: Robertson, Barbara McKinzie
Description: This thesis discusses elliptic geometry including the order and incidence properties, projective properties and congruence properties.
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Completing the Space of Step Functions

Completing the Space of Step Functions

Date: August 1972
Creator: Massey, Linda K.
Description: In this thesis a study is made of the space X of all step functions on [0,1]. This investigation includes determining a completion space, X*, for the incomplete space X, defining integration for X*, and proving some theorems about integration in X*.
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Continuous Multifunctions

Continuous Multifunctions

Date: August 1972
Creator: Rulon, Susan Ree
Description: This paper is a discussion of multifunctions, various types of continuity defined on multifunctions, and implications of continuity for the range and domain sets of the multifunctions.
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A Classification of Regular Planar Graphs

A Classification of Regular Planar Graphs

Date: December 1972
Creator: McCalla, Linda F.
Description: 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.
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On the Stielitjes Integral

On the Stielitjes Integral

Date: August 1972
Creator: Keagy, Thomas A.
Description: This paper is a study of the Stieltjes integral, a generalization of the Riemann integral normally studied in introductory calculus courses. The purpose of the paper is to investigate many of the basic manipulative properties of the integral.
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Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line

Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line

Date: August 2012
Creator: Larsen, Jeannette M.
Description: Certain subquotients of Vec(R)-modules of pseudodifferential operators from one tensor density module to another are categorized, giving necessary and sufficient conditions under which two such subquotients are equivalent as Vec(R)-representations. These subquotients split under the projective subalgebra, a copy of ????2, when the members of their composition series have distinct Casimir eigenvalues. Results were obtained using the explicit description of the action of Vec(R) with respect to this splitting. In the length five case, the equivalence classes of the subquotients are determined by two invariants. In an appropriate coordinate system, the level curves of one of these invariants are a pencil of conics, and those of the other are a pencil of cubics.
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