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International Conference on Applicable General Topology
August 12-18, 2001
Hacettepe University
Ankara, Turkey

Organizers
L. M. Brown (Ankara), G. Brümmer (Cape Town), M. Diker (Ankara), M. Henriksen (Claremont), R. D. Kopperman (New York), G. M. Reed (Oxford), I. L. Reilly (Auckland), S. Salbany (Pretoria), D. Spreen (Siegen)

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On m-compact spaces
by
V. Gorjizadeh
Chamran University, Ahvaz, Iran
Coauthors: O.A.S. Karamzadeh

A topological space (X,T) with the weight W(X) is called m-compact, where m is less than or equal to W(X), if every open covering of X has a subcovering cosisting of less than m open sets (i.e., each open covering has m-property). We extend some properties of compactness to m-compactness and show that if |T| is strongly inaccessible, then X is m-compact if and only if every open covering with the maximum cardinality has m-property.

Date received: June 12, 2001

Copyright © 2001 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 # cagx-21.