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Boise Extravaganza In Set Theory
March 29-31, 2002
Boise State University
Boise, ID, USA

Organizers
Tomek Bartoszynski, Paul Corazza, Justin Moore

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Parametrized diamond principles I
by
Michael Hrusak
UNAM, Mexico
Coauthors: Mirna Dzamonja (UEA), Justin Moore (BSU)

We introduce a collection of guessing principles, which relate to Jensen's diamond principle in a similar way as cardinal invariants of the continuum relate to the continuum hypothesis. We show that these guessing principles often hold in standard forcing extensions. Classical diamond constructions are recast into this framework, reducing the hypotheses necessary for the construction to be carried out. The impact of these principles on the cardinal invariants of the continuum will also be mentioned.

Date received: March 15, 2002

Copyright © 2002 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 Mathematical Conference Abstracts. Document # cair-09.