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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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Metrizability number and perfect maps
by
Gary Gruenhage
Auburn University

We give an example of a space X which is the union of two metrizable subspaces and has a perfect image which is not a finite union of metrizable subspaces. This shows that a theorem of Ismail and Szymanski for locally compact spaces does not extend to the non-locally compact case. We also give some partial results related to the still open question of whether the perfect image of a space which is the union of countably many metrizable subspaces must also be the union of countably many metrizable subspaces.

Date received: May 30, 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 Mathematical Conference Abstracts. Document # cait-26.