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25 May 2005 Inscribing closed non-$\sigma$-lower porous sets into Suslin non-$\sigma$-lower porous sets
Luděk Zajíček, Miroslav Zelený
Abstr. Appl. Anal. 2005(3): 221-227 (25 May 2005). DOI: 10.1155/AAA.2005.221

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.

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Luděk Zajíček. Miroslav Zelený. "Inscribing closed non-$\sigma$-lower porous sets into Suslin non-$\sigma$-lower porous sets." Abstr. Appl. Anal. 2005 (3) 221 - 227, 25 May 2005. https://doi.org/10.1155/AAA.2005.221

Information

Published: 25 May 2005
First available in Project Euclid: 25 July 2005

zbMATH: 1091.28001
MathSciNet: MR2197116
Digital Object Identifier: 10.1155/AAA.2005.221

Rights: Copyright © 2005 Hindawi

Vol.2005 • No. 3 • 25 May 2005
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