Inscribing closed non‐σ‐lower porous sets into Suslin non‐σ‐lower porous sets

Luděk Zajíček and Miroslav Zelený

Abstract and Applied Analysis, 2005, vol. 2005, issue 3, 221-227

Abstract: The main aim of this paper is to prove that every non‐σ‐lower porous Suslin set in a topologically complete metric space contains a closed non‐σ‐lower porous subset. In fact, we prove a general result of this type on “abstract porosities.” This general theorem is also applied to ball small sets in Hilbert spaces and to σ‐cone‐supported sets in separable Banach spaces.

Date: 2005
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https://doi.org/10.1155/AAA.2005.221

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:3:p:221-227

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