Selective Games on Binary Relations

Rodrigo R. Dias; Marion Scheepers

Selective Games on Binary Relations

Rodrigo R. Dias, Marion Scheepers

Mathematics Department

Universidade de São Paulo

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

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
Journal	Mathematics Faculty Publications and Presentations
State	Published - 1 Sep 2015

Keywords

binary relations
product spaces
selection principles
topological games

EGS Disciplines

Mathematics

Access to Document

https://doi.org/10.1016/j.topol.2015.05.071

Cite this

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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 = "Dias, Rodrigo R. and Scheepers, Marion. (2015). {"}Selective Games on Binary Relations{"}. Topology and Its Applications, 192, 58-83. https://doi.org/10.1016/j.topol.2015.05.071",

year = "2015",

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day = "1",

language = "American English",

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TY - JOUR

T1 - Selective Games on Binary Relations

AU - Dias, Rodrigo R.

AU - Scheepers, Marion

N1 - Dias, Rodrigo R. and Scheepers, Marion. (2015). "Selective Games on Binary Relations". Topology and Its Applications, 192, 58-83. https://doi.org/10.1016/j.topol.2015.05.071

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://scholarworks.boisestate.edu/math_facpubs/174

UR - https://doi.org/10.1016/j.topol.2015.05.071

M3 - Article

JO - Mathematics Faculty Publications and Presentations

JF - Mathematics Faculty Publications and Presentations

ER -

Selective Games on Binary Relations

Abstract

Keywords

EGS Disciplines

Access to Document

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