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Spaces whose pseudocompact subspaces are closed subsets
by
R.M. Stephenson, Jr.
University of South Carolina
Coauthors: Alan Dow, Jack R. Porter, and R. Grant Woods
Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by "FCC"). We study the property FCC and several closely related ones, and focus on the behavior of extension and other spaces which have one or more of these properties. Characterization, embedding, and product theorems are obtained, and some examples are given.
Date received: May 31, 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-41.