A generalized σ-porous set with a small complement

We show that in every Banach space, there is a g-porous set, the complement of which is of ℋ1-measure zero on every C1 curve.

Bibliographic Details
Main Author: Jaroslav Tišer
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.535
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spelling doaj-2bb7458aae944ad59b4754f398148d7b2020-11-24T21:54:04ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092005-01-012005553554110.1155/AAA.2005.535A generalized σ-porous set with a small complementJaroslav Tišer0Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Zikova 4, Praha 6 166 27, Czech RepublicWe show that in every Banach space, there is a g-porous set, the complement of which is of ℋ1-measure zero on every C1 curve.http://dx.doi.org/10.1155/AAA.2005.535
collection DOAJ
language English
format Article
sources DOAJ
author Jaroslav Tišer
spellingShingle Jaroslav Tišer
A generalized σ-porous set with a small complement
Abstract and Applied Analysis
author_facet Jaroslav Tišer
author_sort Jaroslav Tišer
title A generalized σ-porous set with a small complement
title_short A generalized σ-porous set with a small complement
title_full A generalized σ-porous set with a small complement
title_fullStr A generalized σ-porous set with a small complement
title_full_unstemmed A generalized σ-porous set with a small complement
title_sort generalized σ-porous set with a small complement
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2005-01-01
description We show that in every Banach space, there is a g-porous set, the complement of which is of ℋ1-measure zero on every C1 curve.
url http://dx.doi.org/10.1155/AAA.2005.535
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AT jaroslavtiser generalizedsporoussetwithasmallcomplement
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