You limited your search to:

  Partner: UNT Libraries
 Degree Discipline: Mathematics
 Collection: UNT Theses and Dissertations
Completely Simple Semigroups

Completely Simple Semigroups

Date: August 1968
Creator: Barker, Bruce W.
Description: The purpose of this thesis is to explore some of the characteristics of 0-simple semigroups and completely 0-simple semigroups.
Contributing Partner: UNT Libraries
T-Functions

T-Functions

Date: June 1960
Creator: Barlow, John Rice
Description: The main purpose of this paper is to make a detailed study of a certain class T of complex functions. The functions of the class T have a special mapping property and are meromorphic in every region. As an application of this study, certain elementary functions are defined and studied in terms of a special T-function.
Contributing Partner: UNT Libraries
Product and Function Spaces

Product and Function Spaces

Date: August 1971
Creator: Barrett, Lewis Elder
Description: 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.
Contributing Partner: UNT Libraries
Properties of Order Relations and Certain Partly Ordered Systems

Properties of Order Relations and Certain Partly Ordered Systems

Date: June 1961
Creator: Barros, David Nicholas
Description: The purpose of this paper is to present a study of partly ordered sets. It includes a rigorous development of relations based on the notion of a relation as a set, lattices, and theorems concerning the lattice of subgroups of a group.
Contributing Partner: UNT Libraries
Mycielski-Regular Measures

Mycielski-Regular Measures

Date: August 2011
Creator: Bass, Jeremiah Joseph
Description: Let μ be a Radon probability measure on M, the d-dimensional Real Euclidean space (where d is a positive integer), and f a measurable function. Let P be the space of sequences whose coordinates are elements in M. Then, for any point x in M, define a function ƒn on M and P that looks at the first n terms of an element of P and evaluates f at the first of those n terms that minimizes the distance to x in M. The measures for which such sequences converge in measure to f for almost every sequence are called Mycielski-regular. We show that the self-similar measure generated by a finite family of contracting similitudes and which up to a constant is the Hausdorff measure in its dimension on an invariant set C is Mycielski-regular.
Contributing Partner: UNT Libraries
A Set of Axioms for a Topological Space

A Set of Axioms for a Topological Space

Date: August 1960
Creator: Batcha, Joseph Patrick
Description: Axioms for a topological space are generally based on neighborhoods where "neighborhood" is an undefined term. Then, limit points are defined in terms of neighborhoods. However, limit points seem to be the basic concept of a topological space, rather than neighborhoods. For this reason, it will be attempted to state a set of axioms for a topological space, using limit point as the undefined concept, and to delete the idea of neighborhoods from the theory.
Contributing Partner: UNT Libraries
The Development of the Natural Numbers by Means of the Peano Postulates

The Development of the Natural Numbers by Means of the Peano Postulates

Date: 1951
Creator: Baugh, Orvil Lee
Description: This thesis covers the development of the natural numbers by means of the peano postulates.
Contributing Partner: UNT Libraries
On Sets and Functions in a Metric Space

On Sets and Functions in a Metric Space

Date: December 1971
Creator: Beeman, Anne L.
Description: The purpose of this thesis is to study some of the properties of metric spaces. An effort is made to show that many of the properties of a metric space are generalized properties of R, the set of real numbers, or Euclidean n--space, and are specific cases of the properties of a general topological space.
Contributing Partner: UNT Libraries
Lebesgue Linear Measure

Lebesgue Linear Measure

Date: 1940
Creator: Beeman, William Edwin
Description: This paper discusses the concept of a general definition of measure, and shows that the Lebesgue measure satisfies the requirements set forth for the ideal definition.
Contributing Partner: UNT Libraries
Compactness and Equivalent Notions

Compactness and Equivalent Notions

Date: August 1967
Creator: Bell, Wayne Charles
Description: One of the classic theorems concerning the real numbers states that every open cover of a closed and bounded subset of the real line contains a finite subcover. Compactness is an abstraction of that notion, and there are several ideas concerning it which are equivalent and many which are similar. The purpose of this paper is to synthesize the more important of these ideas. This synthesis is accomplished by demonstrating either situations in which two ordinarily different conditions are equivalent or combinations of two or more properties which will guarantee a third.
Contributing Partner: UNT Libraries