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Boise Extravaganza in Set Theory
March 31 - April 2, 2000
Boise State University
Boise, ID, USA

Organizers
Tomek Bartoszynski, Marion Scheepers

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AD for long ordinal-definable games, other new axioms, and GCH
by
J. Mycielski
University of Colorado - Boulder

It will be shown that ZFC plus all those axioms implies 2\aleph\alpha+ n = \aleph\alpha+ n + 1 for n < \omega, if \alpha = 0 or if \aleph\alpha is strongly inaccessible. The problem of evaluating 2\aleph\omega by means of those axioms (or any other natural axioms) remains unsolved.

http://www.colorado.edu/math/children/faculty/jmyciel/

Date received: February 19, 2000

Copyright © 2000 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 # cadv-04.