Concerning the Covering Theorem for Closed and Perfectly Compact Point Sets.

Authors

Thomas Leon Nix, University of Alabama at Birmingham

Document Type

Thesis

Date of Award

1974

Abstract

In this thesis it will be shown that, as a consequence of R. L. Moore’s Axiom 0 and the Well-Ordering Theorem, the following is a theorem: If M is a closed point set, then M is perfectly compact if, and only if, when G is a collection of regions covering M, then some finite subcollection of G covers M.

Comments

MS - Master of Science/Master of Surgery; ProQuest publication number 31751896

Recommended Citation

Nix, Thomas Leon, "Concerning the Covering Theorem for Closed and Perfectly Compact Point Sets." (1974). All ETDs from UAB. 6976.
https://digitalcommons.library.uab.edu/etd-collection/6976