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On sg-compact spaces
by
Maximilian Ganster
Graz University of Technology
A subset S of a topological space X is called sg-open if every semi-closed subset of S is also contained in the semi-interior of S . A space X is said to be sg-compact if every cover by sg-open sets has a finite subcover. Sg-compactness is a very strong property. It implies semi-compactness and thus hereditary compactness.
We shall discuss characterizations of sg-compact spaces and consider sg-compactness in product spaces. This talk covers joint work with Julian Dontchev, University of Helsinki, Finland.
Date received: May 19, 1999
Copyright © 1999 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 # cacl-15.