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The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

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The sizes of relatively compact T1-spaces
by
Winfried Just
Ohio University

In 1980, A. A. Gryzlov proved that every compact T1-space of countable pseudocharacter has cardinality at most that of the continuum. We show that the relativization of Gryzlov's theorem, i.e., the statement one gets by replacing "compact" by "compact in a larger space", is false.

Date received: January 31, 1996

Copyright © 1996 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 # caaa-41.