Characterization of σ-porosity via an infinite game

Martin Doležal

Fundamenta Mathematicae (2012)

  • Volume: 216, Issue: 2, page 109-118
  • ISSN: 0016-2736

Abstract

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Let X be an arbitrary metric space and P be a porosity-like relation on X. We describe an infinite game which gives a characterization of σ-P-porous sets in X. This characterization can be applied to ordinary porosity above all but also to many other variants of porosity.

How to cite

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Martin Doležal. "Characterization of σ-porosity via an infinite game." Fundamenta Mathematicae 216.2 (2012): 109-118. <http://eudml.org/doc/286598>.

@article{MartinDoležal2012,
abstract = {Let X be an arbitrary metric space and P be a porosity-like relation on X. We describe an infinite game which gives a characterization of σ-P-porous sets in X. This characterization can be applied to ordinary porosity above all but also to many other variants of porosity.},
author = {Martin Doležal},
journal = {Fundamenta Mathematicae},
keywords = {infinite game; porosity; -porosity},
language = {eng},
number = {2},
pages = {109-118},
title = {Characterization of σ-porosity via an infinite game},
url = {http://eudml.org/doc/286598},
volume = {216},
year = {2012},
}

TY - JOUR
AU - Martin Doležal
TI - Characterization of σ-porosity via an infinite game
JO - Fundamenta Mathematicae
PY - 2012
VL - 216
IS - 2
SP - 109
EP - 118
AB - Let X be an arbitrary metric space and P be a porosity-like relation on X. We describe an infinite game which gives a characterization of σ-P-porous sets in X. This characterization can be applied to ordinary porosity above all but also to many other variants of porosity.
LA - eng
KW - infinite game; porosity; -porosity
UR - http://eudml.org/doc/286598
ER -

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