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Eberlein compacts of finite metrizability number
by
Andrzej Szymanski
Slippery Rock University
Coauthors: Istvan Juhasz and Zoltan Szentmiklossy
In 1980, N. Yakovlev proved that if a space is Eberlein compact, then it is hereditarily \sigma-metacompact. We show that the converse theorem holds true for compact Hausdorff spaces of finite metrizability number. Uniform Eberlein compacts and Corson compacts of finite metrizability number can be characterized in a similar manner.
Date received: June 2, 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-47.