Open AccessInscribing closed non‐σ‐lower porous sets into Suslinnon‐σ‐lower porous sets
Author(s) -
Luděk Zajı́ček,
Miroslav Zelený
Publication year - 2005
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa.2005.221
Subject(s) - mathematics , banach space , algorithm , separable space , machine learning , discrete mathematics , combinatorics , computer science , mathematical analysis
The main aim of this paper is to prove that everynon-σ-lower porous Suslin set in a topologically completemetric space contains a closed non-σ-lower porous subset.In fact, we prove a general result of this type on “abstractporosities.” This general theorem is also applied to ball smallsets in Hilbert spaces and to σ-cone-supported sets in separable Banach spaces
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