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Conference in Honor of Alexander Arhangelskii
June 29 - July 3, 2003
Brooklyn College of the City University of New York
Brooklyn, NY, USA

Organizers
Raushan Buzyakova, Ralph Kopperman, Gerald Itzkowitz, Raymond Gittings, Susan Andima, Oleg Pavlov, Oleg Okunev, Dennis Burke, Vladimir Uspenskii, Witold Marciszewski, Stephen Watson, Hans-Peter Kunzi

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A certain base property in products and its applications
by
Yukinobu Yajima
Kanagawa University, Japan

A product space X×Y is said to be strongly rectangular [2] if every locally finite open cover of X×Y has a locally finite refinement by cozero rectangles. A space X is said to be base-paracompact [1] if there is a base B of X with |B|=w(X) such that every open cover of X has a locally finite refinement by members of B. We simultaneously discuss strong rectangularity and base-paracompactness of product spaces. In particular, we have solved [2, Problem 2] affirmatively.

[1] J.E. Porter, Base-paracompact spaces, Topology and Appl. 128 (2003), 145-156.

[2] Y. Yajima, Topological games and products I, Fund. Math. 113 (1981), 141-153.

Date received: May 24, 2003

Copyright © 2003 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 Mathematical Conference Abstracts. Document # cajv-23.