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

Fundamenta Mathematicae (1997)

- Volume: 152, Issue: 3, page 231-254
- ISSN: 0016-2736

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topScheepers, Marion. "Combinatorics of open covers (III): games, Cp (X)." Fundamenta Mathematicae 152.3 (1997): 231-254. <http://eudml.org/doc/212209>.

@article{Scheepers1997,

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.},

author = {Scheepers, Marion},

journal = {Fundamenta Mathematicae},

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; covering properties of spaces; countable tightness; Ramseyan theorem},

language = {eng},

number = {3},

pages = {231-254},

title = {Combinatorics of open covers (III): games, Cp (X)},

url = {http://eudml.org/doc/212209},

volume = {152},

year = {1997},

}

TY - JOUR

AU - Scheepers, Marion

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

JO - Fundamenta Mathematicae

PY - 1997

VL - 152

IS - 3

SP - 231

EP - 254

AB - 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.

LA - eng

KW - 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; covering properties of spaces; countable tightness; Ramseyan theorem

UR - http://eudml.org/doc/212209

ER -

## References

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