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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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| _version_ | 1832565083556806656 |
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| author | Jaroslav Tišer |
| author_facet | Jaroslav Tišer |
| author_sort | Jaroslav Tišer |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2bb7458aae944ad59b4754f398148d7b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2bb7458aae944ad59b4754f398148d7b2025-02-03T01:09:27ZengWileyAbstract 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 |
| spellingShingle | Jaroslav Tišer A generalized σ-porous set with a small complement Abstract and Applied Analysis |
| title | 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_short | A generalized σ-porous set with a small complement |
| title_sort | generalized σ porous set with a small complement |
| url | http://dx.doi.org/10.1155/AAA.2005.535 |
| work_keys_str_mv | AT jaroslavtiser ageneralizedsporoussetwithasmallcomplement AT jaroslavtiser generalizedsporoussetwithasmallcomplement |