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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| Main Authors: | , |
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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.2005.221 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |