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, 1-7

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:871920

DOI: 10.1155/AAA.2005.221

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