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Boise Extravaganza in Set Theory
March 27-29, 2009
Boise State University
Boise, Idaho, United States

Organizers
Liljana Babinkostova, Andrés E. Caicedo, Stefan Geschke, Richard Ketchersid and Marion Scheepers

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A dichotomy theorem for models of AD+
by
Richard Ketchersid
Boise State University
Coauthors: Andres Caicedo

We study the countable finite game under determinacy and show that in models of AD+ this game is undetermined. The proof uses a dichotomy theorem for sets in models of AD+, namely, every set is either well ordered or the reals embed into X. I will discuss this dichotomy and explain why it holds, a crucial part was recently answered by Hugh Woodin, and I will present hi contribution as well.

Date received: March 21, 2009

Copyright © 2009 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 # cayb-09.