Meager Sets, Games and Singular Cardinals

Liljana Babinkostova; Marion Scheepers

doi:10.1016/j.topol.2020.107344

Meager Sets, Games and Singular Cardinals

Liljana Babinkostova, Marion Scheepers

Mathematics Department

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Abstract

We show that a statement concerning the existence of winning strategies of limited memory in an infinite two-person topological game is equivalent to a weak version of the Singular Cardinals Hypothesis.

Original language	American English
Article number	107344
Journal	Topology and its Applications
Volume	283
DOIs	https://doi.org/10.1016/j.topol.2020.107344
State	Published - 1 Sep 2020

Keywords

Infinite game
Meager set
Nowhere dense set
Singular cardinal hypothesis
Winning strategy

EGS Disciplines

Mathematics

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10.1016/j.topol.2020.107344License: CC BY-NC-ND

Meager Sets Games and Singular CardinalsAccepted author manuscript, 115 KBLicense: CC BY-NC-ND

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title = "Meager Sets, Games and Singular Cardinals",

abstract = " We show that a statement concerning the existence of winning strategies of limited memory in an infinite two-person topological game is equivalent to a weak version of the Singular Cardinals Hypothesis.",

keywords = "Infinite game, Meager set, Nowhere dense set, Singular cardinal hypothesis, Winning strategy",

author = "Liljana Babinkostova and Marion Scheepers",

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year = "2020",

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T1 - Meager Sets, Games and Singular Cardinals

AU - Babinkostova, Liljana

AU - Scheepers, Marion

PY - 2020/9/1

Y1 - 2020/9/1

N2 - We show that a statement concerning the existence of winning strategies of limited memory in an infinite two-person topological game is equivalent to a weak version of the Singular Cardinals Hypothesis.

AB - We show that a statement concerning the existence of winning strategies of limited memory in an infinite two-person topological game is equivalent to a weak version of the Singular Cardinals Hypothesis.

KW - Infinite game

KW - Meager set

KW - Nowhere dense set

KW - Singular cardinal hypothesis

KW - Winning strategy

UR - https://www.scopus.com/pages/publications/85089681706

UR - https://scholarworks.boisestate.edu/math_facpubs/232

U2 - 10.1016/j.topol.2020.107344

DO - 10.1016/j.topol.2020.107344

M3 - Article

SN - 0166-8641

VL - 283

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 107344

ER -

Meager Sets, Games and Singular Cardinals

Abstract

Keywords

EGS Disciplines

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