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II Workshop on Coverings, Selections and Games in Topology
December 19-22, 2005
University of Lecce
Lecce, Italy

Organizers
(Organizing Committee) Cosimo Guido, Anna Frascella, Domenico Lenzi, Gabriella Zammillo. (Scientific Committee) Liljana Babinkostova, Cosimo Guido, Ljubisa Kocinac, Marion Scheepers, Boaz Tsaban

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Coherence of Semifilters
by
Taras Banakh
Akademia Swietokrzyska in Kielce (Poland) and Ivan Franko Lviv National University (Ukraine)
Coauthors: Luybomyr Zdomskyy

We shall discuss the coherence relation on the lattice of semifilters. A semifilter is a family of infinite subsets of natural numbers, closed under taking almost supersets. On the family of ultrafilters the coherence relation was introduced in 80-ies by A.Blass who formulated his famous principle (NCF), the Near Coherence of Filters, that found many non-trivial applications in various fields of mathematics. Coherence classes of semifilters allow to quantify selection properties and define many Selection Principles intermediate between the properties of Hurewicz and Menger.

Date received: October 31, 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 # caqh-16.