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The Eleventh Summer Conference on General Topology and Applications
August 10-13, 1995
University of Southern Maine
Gorham, ME, USA

Organizers
J. Baumgartner, D. Briggs, J. deBakker, B. Flagg, G. Gruenhage, M. Guay, Y. Kong, R. Kopperman, S. Shore, J. Rutten, J. Vaughan

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F\sigma Filters and a Few Applications
by
Claude Laflamme
University of Calgary

We describe the exact combinatorics required to diagonalize F\sigma filters and show in particular that the minimum size of a non trivial F\sigma filter is at least t.

We then discuss a few applications. The first one is related to trigonometric series and the closure of N sets under addition. The other generalizes the notion of a \gamma set using filters on N.

Date received: April 12, 1996

Copyright © 1996 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 # caae-52.