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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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Game approach to universally Kuratowski-Ulam spaces
by
Szymon Plewik
Instytut Matematyki, University of Silesia in Katowice
Coauthors: Andrzej Kucharski

We consider a variant of the open-open game which was introduced by P. Daniels, K. Kunen an H. Zhou [1984]: Two players take turns with a topological space; A round consists of Player I choosing a nonempty open set U and then Player II choosing a nonempty open subset V Í U; Player I wins if the union of all open sets which has been chosen by II is dense; A space is is I-favorable if Player I can be insured that he wins no matter how his opponent plays. The main result [by A. Kucharski and Sz. Plewik] is that every I-favorable space is universally Kuratowski-Ulam.

Date received: November 29, 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-27.