Combinatorics of Open Covers (III): Games, Cp(X)

Marion Scheepers

Combinatorics of Open Covers (III): Games, C_p(X)

Marion Scheepers

Mathematics Department

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

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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.

Original language	American English
Pages (from-to)	231-254
Number of pages	24
Journal	Fundamenta Mathematicae
Volume	152
Issue number	3
State	Published - 1997

Keywords

ω-cover
C(X)
Countable fan tightness
Countable strong fan tightness
Infinite games
Menger property
Rothberger property
S(Ω, Ω)

EGS Disciplines

Mathematics

Access to Document

Combinatorics of Open Covers (III) Games C sub p sub ( em X eFinal published version, 373 KBLicense: Other

Cite this

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title = "Combinatorics of Open Covers (III): Games, Cp(X)",

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.",

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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 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.

KW - ω-cover

KW - C(X)

KW - Countable fan tightness

KW - Countable strong fan tightness

KW - Infinite games

KW - Menger property

KW - Rothberger property

KW - S(Ω, Ω)

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UR - https://scholarworks.boisestate.edu/math_facpubs/92

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EP - 254

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JF - Fundamenta Mathematicae

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