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Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

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Extremal Pseudocompact Abelian Groups Are Compact Metrizable
by
W. W. Comfort
Wesleyan University
Coauthors: Jan van Mill

The theorem announced in the title is proved. It may be restated as follows. Theorem. Let G be a pseudocompact Abelian group such that w(G) > w. Then G admits both (a) a proper dense pseudocompact subgroup and (b) a strictly finer pseudocompact group topology. Remark. Absolutely essential to the present arguments are theorems proved earlier by the authors and their co-authors K. A. Ross, L. C. Robertson, H. Gladdines and J. Galindo.

Date received: February 1, 2006

Copyright © 2006 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 # caqs-22.