Geodesic
Combinatorics of open covers (III): games, $\mathsf C_p (X)$
Fundamenta Mathematicae, Tome 152 (1997) no. 3, pp. 231-254

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-152-3-231-254
Keywords: Rothberger property, Menger property, ω-cover, $S_1(Ω, Ω)$, $S_{fin}(Ω, Ω)$, $C_p(X)$, countable fan tightness, countable strong fan tightness, infinite games

Marion Scheepers 1

1 
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Marion Scheepers. Combinatorics of open covers (III): games, $\mathsf C_p (X)$. Fundamenta Mathematicae, Tome 152 (1997) no. 3, pp. 231-254. doi: 10.4064/fm-152-3-231-254

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