NOTES ON SELECTION PRINCIPLES IN TOPOLOGY (I): PARACOMPACTNESS

Title & Authors
NOTES ON SELECTION PRINCIPLES IN TOPOLOGY (I): PARACOMPACTNESS
BABINKOSTOVA L.; KOCINAC LJ. D. R.; SCHEEPERS M.;

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;
Language
English
Cited by
1.
Versions of properties (a) and (pp), Topology and its Applications, 2011, 158, 12, 1360
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Some covering properties in topological and uniform spaces, Proceedings of the Steklov Institute of Mathematics, 2006, 252, 1, 122
3.
Selective games on binary relations, Topology and its Applications, 2015, 192, 58
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