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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Zajíček, Luděk, Zelený, Miroslav (2005)
Abstract and Applied Analysis
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Zajíček, L. (2005)
Abstract and Applied Analysis
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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.
Tišer, Jaroslav (2005)
Abstract and Applied Analysis
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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...
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...
Luděk Zajíček (1981)
Commentationes Mathematicae Universitatis Carolinae
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