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http://dx.doi.org/10.4134/JKMS.2005.42.4.709

NOTES ON SELECTION PRINCIPLES IN TOPOLOGY (I): PARACOMPACTNESS  

BABINKOSTOVA L. (Faculty of Natural Sciences and Mathematics Institute of Mathematics)
KOCINAC LJ. D. R. (Faculty of Sciences University of Nis)
SCHEEPERS M. (Department of Mathematics Boise State University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.4, 2005 , pp. 709-721 More about this Journal
Abstract
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;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
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