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2005 Spring Topology and Dynamics Conference
March 17-19, 2005
Berry College
Mount Berry, Georgia, USA

Organizers
Eric McDowell, Todd Timberlake, John Graham

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Reznichenko's example is metalindelöf
by
Oleg Pavlov
Towson University

We note that a pseudocompact not compact space X that is constructed by E. A. Reznichenko is hereditarily metalindelöf. Moreover, every (hereditarily) metalindelöf space Y can be attached to X (the size of X can vary to accommodate Y) so that the resulting space is a (hereditarily) metalindelöf pseudocompact not compact space that contains Y as a closed subset.

This example is much simpler than related constructions of a pseudocompact not compact space with a point-countable base that are due to S. Watson and D. B. Shakhmatov.

Date received: February 28, 2005

Copyright © 2005 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 # capc-85.