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Boise Extravaganza in Set Theory
March 23-25, 2001
Boise State University
Boise, ID, USA

Organizers
Tomek Bartoszynski, Paul Corazza, Justin Moore

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Not quite dominating families
by
Andreas Blass
University of Michigan

For a set D subset or equal \omega\omega and a natural number k, say that D is k-dominating if every f in \omega\omega is eventually majorized by the pointwise maximum of k functions from D. I'll present some results about k-dominating families - some in ZFC and some consistency results. If time permits, I'll add some comments about related notions, such as k-bases for ultrafilters.

Date received: March 3, 2001

Copyright © 2001 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 # cagb-06.