Inscribing compact non-$\sigma$-porous sets into analytic
non-$\sigma$-porous sets

Miroslav Zelený; Luděk Zajíček

doi:10.4064/fm185-1-2

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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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

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

Affiliations des auteurs :

Miroslav Zelený ¹ ; Luděk Zajíček ²

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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. http://geodesic.mathdoc.fr/articles/10.4064/fm185-1-2/

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