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Coarser normal product and countably paracompactness
by
Jila Niknejad
University of Kansas
In 1997, Buzjakova proved: For pseudocompact Tychonoff space X and k = | bX| +, X condenses onto a compact space if and only if X×(k+1) condenses onto a normal space. This is a condensation form of Tamano's theorem. An interesting problem is to determine how much of Buzjakova's result can be proved with "pseudocompact" removed from the hypothesis.
In this talk, we are going to show for a Tychonoff space X, there is a cardinal k such that if X×(k+1) condenses onto a normal space, then X condenses onto a countably paracompact space.
Date received: January 24, 2009
Copyright © 2009 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 # caxy-21.