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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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More consistency results with CH
by
Todd Eisworth
Ohio University, Athens, OH 45701

We will present a recent result that CH is consistent with the statement that countably compact regular spaces that are hereditarily of countably p-character are either compact, or contain an uncountable free sequence. We had proved a few years ago that CH doesn not imply the existence of a compact S-space of size greater than ℵ1; our new result is much stronger. We will also comment on the status of the Moore-Mrowka problem with CH.

Date received: March 3, 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 # cast-40.