Relative topological properties

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
David Chodounsky (Creator)
Institution
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/
Advisor
Vaughan. Vaughan

Abstract: "In this thesis we study the concepts of relative topological properties and give some basic facts and relations among them. Our main focus is on various versions of relative normality, relative regularity and relative compactness. We give examples which answer some open questions and contract some conjectures in the literature. The theory of relative topological properties was introduced by A. V. Arhangelskii and H. M. M Genedi in 1989. Our three main results are (1) an example which presents a way to modify any Dowker space and get a normal space X such that X x [0, 1] is not kappa-normal (Example 4.2.14). (2) A theorem which implies the existence of a non-Tychonoff space that is internally compact is a larger regular space (Theorem 5.2.6), and (3) a theorem that characterizes those subspaces of the Niemytzki plane that are normal subspaces. "--Abstract from author supplied metadata.

Additional Information

Publication
Thesis
Language: English
Date: 2006
Keywords
topological properties, relationshipsDowker space, theorem, non-Tychonoff space
Subjects
Topology