Geodesic
Inscribing compact non-$\sigma$-porous sets into analytic non-$\sigma$-porous sets
Miroslav Zelený 1   ; Luděk Zajíček 2
1 Charles University Faculty of Mathematics and Physics, KMA Sokolovská 83 Praha 8, 186 00, Czech Republic
2 Faculty of Mathematics and Physics, KMA Charles University Sokolovská 83 Praha 8, 186 00, Czech Republic
Fundamenta Mathematicae, Tome 185 (2005) no. 1, pp. 19-39 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The main aim of this paper is to give a simpler proof of the following assertion. Let $A$ be an analytic non-$\sigma$-porous subset of a locally compact metric space ,$E$. Then there exists a compact non-$\sigma$-porous subset of $A$. Moreover, we prove the above assertion also for $\sigma$-$\bf P$-porous sets, where ${\bf P}$ is a porosity-like relation on $E$ satisfying some additional conditions. Our result covers $\sigma$-$\langle g \rangle$-porous sets, $\sigma$-porous sets, and $\sigma$-symmetrically porous sets.
DOI : 10.4064/fm185-1-2
Keywords: main paper simpler proof following assertion analytic non sigma porous subset locally compact metric space nbsp there exists compact non sigma porous subset moreover prove above assertion sigma p porous sets where porosity like relation satisfying additional conditions result covers sigma langle rangle porous sets sigma porous sets sigma symmetrically porous sets

Miroslav Zelený  1   ; Luděk Zajíček  2

1 Charles University Faculty of Mathematics and Physics, KMA Sokolovská 83 Praha 8, 186 00, Czech Republic
2 Faculty of Mathematics and Physics, KMA Charles University Sokolovská 83 Praha 8, 186 00, Czech Republic 
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Miroslav Zelený; Luděk Zajíček. Inscribing compact non-$\sigma$-porous sets into analytic
non-$\sigma$-porous sets. Fundamenta Mathematicae, Tome 185 (2005) no. 1, pp. 19-39. doi: 10.4064/fm185-1-2

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