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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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Interesting topologies making given self-maps of a set continuous
by
Chris Good
University of Birmingham
Coauthors: Sina Greenwood, Robin Knight, Dave MacIntyre, Steve Watson

Given an arbitrary self-map (or collection of maps) of a set, when are there interesting topologies on the set with respect to which the map (or maps) are continuous?

We look at various questions of this sort. In particular there is a surprisingly elegant characterization of when there is a compact Hausdorff topology with respect to which a self-map is continuous, answering a question which originated with de Groot. We also consider the compact metric case.

Date received: May 28, 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-28.