Inscribing closed non--lower porous sets into Suslin non--lower porous sets.
Zajíček, Luděk, Zelený, Miroslav (2005)
Abstract and Applied Analysis
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Displaying similar documents to “Inscribing compact non-σ-porous sets into analytic non-σ-porous sets”
Inscribing closed non--lower porous sets into Suslin non--lower porous sets.
On -porous sets in abstract spaces.
Zajíček, L. (2005)
Abstract and Applied Analysis
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A -porous set need not be -bilaterally porous
R. J. Nájares, Luděk Zajíček (1994)
Commentationes Mathematicae Universitatis Carolinae
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A closed subset of the real line which is right porous but is not -left-porous is constructed.
A generalized -porous set with a small complement.
Tišer, Jaroslav (2005)
Abstract and Applied Analysis
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Products of non--lower porous sets
Martin Rmoutil (2013)
Czechoslovak Mathematical Journal
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In the present article we provide an example of two closed non--lower porous sets such that the product is lower porous. On the other hand, we prove the following: Let and be topologically complete metric spaces, let be a non--lower porous Suslin set and let be a non--porous Suslin set. Then the product is non--lower porous. We also provide a brief summary of some basic properties of lower porosity, including a simple characterization of Suslin non--lower porous sets...
-porosity is separably determined
Marek Cúth, Martin Rmoutil (2013)
Czechoslovak Mathematical Journal
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We prove a separable reduction theorem for -porosity of Suslin sets. In particular, if is a Suslin subset in a Banach space , then each separable subspace of can be enlarged to a separable subspace such that is -porous in if and only if is -porous in . Such a result is proved for several types of -porosity. The proof is done using the method of elementary submodels, hence the results can be combined with other separable reduction theorems. As an application we extend...