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

Marion Scheepers

Fundamenta Mathematicae (1997)

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

Abstract

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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.

How to cite

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Scheepers, 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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