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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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A strong separation property
by
Sheldon Davis
Miami University
Coauthors: Dennis Burke

We consider the following property of a space X: if H and K are disjoint closed subsets of X, then at least one of H and K must be compact. This is not a covering property since the space countable ordinals possesses it. It is also not a base property since the Stone-Cech compactification of the natural numbers possesses it. We show that this property implies locally compact, countably compact, and collectionwise normal, and we investigate the behavior of this property.

Date received: January 15, 2008

Copyright © 2008 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 # cawk-19.