Inscribing closed non-σ-lower porous sets into Suslin non-σ-lower porous sets
The main aim of this paper is to prove that every non-σ-lower porous Suslin set in a topologically complete metric space contains a closed non-σ-lower porous subset. In fact, we prove a general result of this type on “abstract porosities.” This general theorem is also applied to ball small sets in...
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Hindawi Limited
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.221 |
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doaj-03a69c9a75b14984810e564402f71b692020-11-24T23:56:06ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092005-01-012005322122710.1155/AAA.2005.221Inscribing closed non-σ-lower porous sets into Suslin non-σ-lower porous setsLuděk Zajíček0Miroslav Zelený1Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Praha 8 186 75, Czech RepublicFaculty of Mathematics and Physics, Charles University, Sokolovská 83, Praha 8 186 75, Czech RepublicThe main aim of this paper is to prove that every non-σ-lower porous Suslin set in a topologically complete metric space contains a closed non-σ-lower porous subset. In fact, we prove a general result of this type on “abstract porosities.” This general theorem is also applied to ball small sets in Hilbert spaces and to σ-cone-supported sets in separable Banach spaces.http://dx.doi.org/10.1155/AAA.2005.221 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Luděk Zajíček Miroslav Zelený |
| spellingShingle |
Luděk Zajíček Miroslav Zelený Inscribing closed non-σ-lower porous sets into Suslin non-σ-lower porous sets Abstract and Applied Analysis |
| author_facet |
Luděk Zajíček Miroslav Zelený |
| author_sort |
Luděk Zajíček |
| title |
Inscribing closed non-σ-lower porous sets into Suslin
non-σ-lower porous sets |
| title_short |
Inscribing closed non-σ-lower porous sets into Suslin
non-σ-lower porous sets |
| title_full |
Inscribing closed non-σ-lower porous sets into Suslin
non-σ-lower porous sets |
| title_fullStr |
Inscribing closed non-σ-lower porous sets into Suslin
non-σ-lower porous sets |
| title_full_unstemmed |
Inscribing closed non-σ-lower porous sets into Suslin
non-σ-lower porous sets |
| title_sort |
inscribing closed non-σ-lower porous sets into suslin
non-σ-lower porous sets |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2005-01-01 |
| description |
The main aim of this paper is to prove that every
non-σ-lower porous Suslin set in a topologically complete
metric space contains a closed non-σ-lower porous subset.
In fact, we prove a general result of this type on “abstract
porosities.” This general theorem is also applied to ball small
sets in Hilbert spaces and to σ-cone-supported sets in separable Banach spaces. |
| url |
http://dx.doi.org/10.1155/AAA.2005.221 |
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AT ludekzajicek inscribingclosednonslowerporoussetsintosuslinnonslowerporoussets AT miroslavzeleny inscribingclosednonslowerporoussetsintosuslinnonslowerporoussets |
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