Porosity of convex nowhere dense subsets of normed linear spaces.

Strobin, Filip

Displaying similar documents to “Porosity of convex nowhere dense subsets of normed linear spaces.”

On $σ$ -porous sets in abstract spaces.

Zajíček, L. (2005)

Abstract and Applied Analysis

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Inscribing closed non- $σ$ -lower porous sets into Suslin non- $σ$ -lower porous sets.

Zajíček, Luděk, Zelený, Miroslav (2005)

Abstract and Applied Analysis

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Porosity and continuous, nowhere differentiable functions

Valeriu Anisiu (1993)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Porosity and compacta with dense ambiguous loci of metric projections

Jan Kolář (1998)

Acta Universitatis Carolinae. Mathematica et Physica

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A porosity result in convex minimization.

Howlett, P.G., Zaslavski, A.J. (2005)

Abstract and Applied Analysis

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A generalized $σ$ -porous set with a small complement.

Tišer, Jaroslav (2005)

Abstract and Applied Analysis

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$σ$ -porosity is separably determined

Marek Cúth, Martin Rmoutil (2013)

Czechoslovak Mathematical Journal

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We prove a separable reduction theorem for $σ$ -porosity of Suslin sets. In particular, if $A$ is a Suslin subset in a Banach space $X$ , then each separable subspace of $X$ can be enlarged to a separable subspace $V$ such that $A$ is $σ$ -porous in $X$ if and only if $A \cap V$ is $σ$ -porous in $V$ . Such a result is proved for several types of $σ$ -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...

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.