Geodesic
Characterization of $\sigma $-porosity via an infinite game
Martin Doležal 1
1 Department of Mathematical Analysis Faculty of Mathematics and Physics Charles University Sokolovská 83 186 75 Praha 8, Czech Republic
Fundamenta Mathematicae, Tome 216 (2012) no. 2, pp. 109-118 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\sigma $-$P$-porous sets in $X$. This characterization can be applied to ordinary porosity above all but also to many other variants of porosity.
DOI : 10.4064/fm216-2-2
Keywords: arbitrary metric space porosity like relation nbsp describe infinite game which gives characterization sigma p porous sets nbsp characterization applied ordinary porosity above many other variants porosity

Martin Doležal  1

1 Department of Mathematical Analysis Faculty of Mathematics and Physics Charles University Sokolovská 83 186 75 Praha 8, Czech Republic 
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Martin Doležal. Characterization of $\sigma $-porosity via an infinite game. Fundamenta Mathematicae, Tome 216 (2012) no. 2, pp. 109-118. doi: 10.4064/fm216-2-2

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