On -porous sets in abstract spaces.
Zajíček, L. (2005)
Abstract and Applied Analysis
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Displaying similar documents to “A generalized -porous set with a small complement.”
On -porous sets in abstract spaces.
Inscribing closed non--lower porous sets into Suslin non--lower porous sets.
Zajíček, Luděk, Zelený, Miroslav (2005)
Abstract and Applied Analysis
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Inscribing compact non-σ-porous sets into analytic non-σ-porous sets
Miroslav Zelený, Luděk Zajíček (2005)
Fundamenta Mathematicae
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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-σ-porous subset of a locally compact metric space, E. Then there exists a compact non-σ-porous subset of A. Moreover, we prove the above assertion also for σ-P-porous sets, where P is a porosity-like relation on E satisfying some additional conditions. Our result covers σ-⟨g⟩-porous sets, σ-porous sets, and σ-symmetrically porous sets.
Porosity and compacta with dense ambiguous loci of metric projections
Jan Kolář (1998)
Acta Universitatis Carolinae. Mathematica et Physica
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-porosity is separably determined
Marek Cúth, Martin Rmoutil (2013)
Czechoslovak Mathematical Journal
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We prove a separable reduction theorem for -porosity of Suslin sets. In particular, if is a Suslin subset in a Banach space , then each separable subspace of can be enlarged to a separable subspace such that is -porous in if and only if is -porous in . Such a result is proved for several types of -porosity. The proof is done using the method of elementary submodels, hence the results can be combined with other separable reduction theorems. As an application we extend...
A generalization of an Ekeland-Lebourg theorem and the differentiability of distance functions
Zajíček, L.
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