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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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Base-cover paracompactness and uniform base-cover paracompactness
by
Strashimir G. Popvassilev
Auburn Univ, AL, USA, and Inst. Math. Bulgarian Acad. Sci.

Call a space base-cover paracompact if it has a base every subcover of which has a locally finite subcover. Call a space uniformly base-cover paracompact if it has a base every subfamily of which has a subfamily with the same union, and which is locally finite at each point from that union. A subspace of the Sorgenfrey line is base-cover paracompact iff it is F\sigma. A countable space need not be base-cover paracompact. Every proto-metrizable space is uniformly base-cover paracompact. A space is metrizable iff its product with a conveging sequence is uniformly base-cover paracompact. We comment on some open questions about these and other classes of spaces defined earlier by John (Ted) Porter.

Date received: May 20, 2002

Copyright © 2002 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 # cait-18.