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The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

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Mateev's property (a) in semi-metric and other spaces
by
Robert W. Heath
Mathematics Department, University of Pittsburgh, Pittsburgh, PA15260

A space X has property (a) provided that, for any dense subset D of X and any open cover C of X, there is a closed discrete subset M of D such that st(M, C) is X. Some examples, including an example of a metacompact Tychonov space which does not have property (a), are given. There are also presented some propositions relating property (a), separability, the Lindelof property, C- compactness (every set of cardinal C has a limit point), etc.

Date received: July 4, 1997

Copyright © 1997 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 # caao-85.