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Selection Principles and Games on Multicovered Spaces
by
Lyubomyr Zdomskyy
Ivan Franko Lviv National University, Lviv, Ukraine
Coauthors: Taras Banakh
We survey basic results on selection principles and games in multicovered spaces. A multicovered space is a pair (X, mu) consisting of a set X and a family mu of its covers. Multicovered spaces provide a natural framework for studying classical and new selection principles. The general approach allows us to find simple proofs to many known classical results as well as to answer some open problems.
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-15.