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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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Blackwell games and projective ordinals
by
Benedikt Löwe
Rheinische Friedrich-Wilhelms-Universität Bonn

Continuing the talk from BEST 8 (where we showed the measurability of omega1 under Blackwell Determinacy), we investigate further ordinals under the assumption of Blackwell Determinacy. We show that the omega-club filters on the projective ordinals are indeed normal ultrafilters and hence the projective ordinals are measurable cardinals.

This result gives more of the structural consequences of AD just from the (seemingly) weaker Axiom of Blackwell-Determinacy.

Benedikt Loewe

Date received: February 23, 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-05.