Combinatorics of open covers (III): games, $\mathsf C_p (X)$

Volume 152 / 1997

Marion Scheepers Fundamenta Mathematicae 152 (1997), 231-254 DOI: 10.4064/fm-152-3-231-254

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 $C_p(X)$ 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.

Authors

  • Marion Scheepers

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