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.
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2005-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/AAA.2005.535 |
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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 |
work_keys_str_mv |
AT jaroslavtiser ageneralizedsporoussetwithasmallcomplement AT jaroslavtiser generalizedsporoussetwithasmallcomplement |
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1725869194932649984 |