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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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Metrizable Spaces and the Axiom of Choice
by
Chris Good
Wadham College
Coauthors: Ian Tree, Steve Watson

We discuss some results concerning metrizable spaces in models of set-theory which fail to satisfy the full axiom of choice. In particular, we show that Stone's Theorem (that metric spaces are paracompact requires) some choice.

Date received: April 12, 1996

Copyright © 1996 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 # caae-25.