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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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Small Diagonal and PFA
by
Alan Dow
UNC Charlotte
Coauthors: Oleg Pavlov

We prove that PFA implies that compact spaces with a small diagonal are metrizable. The notion of small diagonal was introduced by M. Husek and a space is said to have a small diagonal if every uncountable subset of the square off the diagonal has an uncountable subsets with closure disjoint from the diagonal.

Date received: February 10, 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-34.