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A characterization of compactness by a relative separation property
by
Jamal Tartir
Ohio University
A subspace Y of a space X is called regular in X if each element y of Y and each closed (in X) subset of X that does not contain y can be separated by open (in X) sets. Compact Hausdorff spaces are characterized as Hausdorff spaces which are regular in every larger Hausdorff space.
Date received: January 31, 1996
Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaa-22.