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J. Korean Math. Soc. 2005; 42(4): 709-721

Printed July 1, 2005

Copyright © The Korean Mathematical Society.

Notes on selection principles in topology (I): paracompactness

L. Babinkostova, Lj. D. R. Kocinac, and M. Scheepers

Faculty of Natural Sciences and Mathematics Institute of Mathematics, University of Ni, Boise State University

Abstract

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G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.

Keywords: paracompact, locally compact, moving-off family, selection principles, Ramsey theory, game theory.

MSC numbers: 54D20, 54D45, 03E02, 91A44

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