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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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More spaces are not squashable
by
Franklin D. Tall
University of Toronto
Coauthors: Lucia R. Junqueira

Requiring that the elementary submodel topology on a space X's intersection with an elementary submodel M (the 'reflection of X in M') be compact is a strong requirement. We have previously shown that under 'no large cardinals' assumptions that the additional requirement of dyadicity on the reflection ensures rigidity: the reflection can only be X. We extend these results to spaces with reflections co-absolute with dyadic compacta. In Kunen's terminology, spaces cannot be 'squashed' to compacta co-absolute with dyadic compacta. Assuming GCH in addition, we extend these results to countable chain condition compacta.

Date received: May 4, 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-13.