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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Recent results on the generic absoluteness programme.
by
Joan Bagaria
ICREA and Universitat de Barcelona

We present some recent results on generic absoluteness under several classes of projective forcing notions. In particular, we provide exact consistency strengths for canonical generic absoluteness of L(R) under various classes of ccc and proper forcing extensions. We also present some applications of these results in Descriptive Set Theory and Combinatorics.

Date received: March 28, 2005

Copyright © 2005 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 # caql-80.