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1999 Spring Topology Conference
March 18-20, 1999
University of Utah
Salt Lake City, UT, USA

Organizers
Mladen Bestvina, Greg Conner, Misha Kapovich, Bruce Kleiner

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Applications of Totally Proper Forcing
by
Todd Eisworth
Hebrew University of Jerusalem/Ohio University

A notion of forcing is totally proper if it is proper and adds no new reals. In this talk, we will survey some results obtained over the last two years using totally proper forcing. Applications include a model of CH in which every first countable, countably compact space is either compact or contains a closed copy of \omega1 (joint work with Peter Nyikos), and a model in which 2\aleph0 < 2\aleph1 and there are no locally compact, first countable S-spaces (joint work with Nyikos and Saharon Shelah).

Date received: March 14, 1999

Copyright © 1999 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 # caca-69.