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
Subject Headings
Topological spacesFunctionsTopological algebras
Thesis Number
T 2604
Print OCLC #
6037828
Electronic OCLC #
875561108
Recommended Citation
Cramer, Alexander Hamlin, "Characterizing topologies by classes of functions and multifunctions" (1971). Doctoral Dissertations. 1841.
https://scholarsmine.mst.edu/doctoral_dissertations/1841
