Doctoral Dissertations

Abstract

"Topological spaces are characterized by the algebraic and topological structures of their classes of continuous selfmaps. The problem of determining the topology of a set given certain classes of multifunctions or relations is considered. The algebraic structure of the upper semicontinuous multifunctions is shown to determine the topology of T₁ spaces. A partial order for classes of topologies for the real numbers is defined and relationships between various classes are established"--Abstract, page ii.

Advisor(s)

Haddock, Glen

Committee Member(s)

Bain, Lee J., 1939-
Hicks, Troy L.
Penico, Anthony J., 1923-2011
Pursell, Lyle E.
Rigler, A. K.

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1971

Pagination

v, 56 pages

Note about bibliography

Includes bibliographical references (pages 54-55).

Rights

© 1971 Alexander Hamlin Cramer, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Topological spaces
Functions
Topological algebras

Thesis Number

T 2604

Print OCLC #

6037828

Electronic OCLC #

875561108

Included in

Mathematics Commons

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