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Title

Combinatorics of open covers (III): games, Cp (X)

Authors 1

Affiliations

  1. Department of Mathematics, Boise State University, Boise, Idaho 83725, U.S.A.

Abstract

Some of the covering properties of spaces as defined in Parts I and II are here characterized by games. These results, applied to function spaces Cp(X) of countable tightness, give new characterizations of countable fan tightness and countable strong fan tightness. In particular, each of these properties is characterized by a Ramseyan theorem.

Keywords

ENG
Rothberger property, Menger property, ω-cover, S1(Ω,Ω), Sf∈(Ω,Ω), Cp(X), countable fan tightness, countable strong fan tightness, infinite games

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Fundamenta Mathematicae
1997/152/3
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Pages:
231-254
Main language of publication
English
Received
1996-01-10
Accepted
1996-10-30
Published
1997
Exact and natural sciences