Selective Games on Binary Relations

Rodrigo R. Dias; Marion Scheepers

doi:10.1016/j.topol.2015.05.071

Selective Games on Binary Relations

Rodrigo R. Dias
, Marion Scheepers

Mathematics Department

Universidade de São Paulo

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

4 Scopus citations

Abstract

We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them. Among other applications, this general framework allows us to obtain a number of results on the preservation of such properties in products provided that the second player has a winning strategy in the associated game played on one of the coordinate spaces.

Original language	American English
Pages (from-to)	58-83
Number of pages	26
Journal	Topology and its Applications
Volume	192
DOIs	https://doi.org/10.1016/j.topol.2015.05.071
State	Published - 1 Sep 2015

Keywords

Binary relations
Product spaces
Selection principles
Topological games

EGS Disciplines

Mathematics

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title = "Selective Games on Binary Relations",

abstract = " We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them. Among other applications, this general framework allows us to obtain a number of results on the preservation of such properties in products provided that the second player has a winning strategy in the associated game played on one of the coordinate spaces.",

keywords = "Binary relations, Product spaces, Selection principles, Topological games",

author = "Dias, \{Rodrigo R.\} and Marion Scheepers",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2015",

month = sep,

day = "1",

doi = "10.1016/j.topol.2015.05.071",

language = "American English",

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pages = "58--83",

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TY - JOUR

T1 - Selective Games on Binary Relations

AU - Dias, Rodrigo R.

AU - Scheepers, Marion

PY - 2015/9/1

Y1 - 2015/9/1

N2 - We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them. Among other applications, this general framework allows us to obtain a number of results on the preservation of such properties in products provided that the second player has a winning strategy in the associated game played on one of the coordinate spaces.

AB - We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them. Among other applications, this general framework allows us to obtain a number of results on the preservation of such properties in products provided that the second player has a winning strategy in the associated game played on one of the coordinate spaces.

KW - Binary relations

KW - Product spaces

KW - Selection principles

KW - Topological games

UR - https://www.scopus.com/pages/publications/84939472781

UR - https://scholarworks.boisestate.edu/math_facpubs/174

U2 - 10.1016/j.topol.2015.05.071

DO - 10.1016/j.topol.2015.05.071

M3 - Article

SN - 0166-8641

VL - 192

SP - 58

EP - 83

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Selective Games on Binary Relations

Abstract

Keywords

EGS Disciplines

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