Inscribing closed non--lower porous sets into Suslin non--lower porous sets.
Zajíček, Luděk, Zelený, Miroslav (2005)
Abstract and Applied Analysis
Similarity:
Displaying similar documents to “On -porous sets in abstract spaces.”
Inscribing closed non--lower porous sets into Suslin non--lower porous sets.
A generalized -porous set with a small complement.
Tišer, Jaroslav (2005)
Abstract and Applied Analysis
Similarity:
Porosity of convex nowhere dense subsets of normed linear spaces.
Strobin, Filip (2009)
Abstract and Applied Analysis
Similarity:
Inscribing compact non-σ-porous sets into analytic non-σ-porous sets
Miroslav Zelený, Luděk Zajíček (2005)
Fundamenta Mathematicae
Similarity:
The main aim of this paper is to give a simpler proof of the following assertion. Let A be an analytic non-σ-porous subset of a locally compact metric space, E. Then there exists a compact non-σ-porous subset of A. Moreover, we prove the above assertion also for σ-P-porous sets, where P is a porosity-like relation on E satisfying some additional conditions. Our result covers σ-⟨g⟩-porous sets, σ-porous sets, and σ-symmetrically porous sets.
-porosity is separably determined
Marek Cúth, Martin Rmoutil (2013)
Czechoslovak Mathematical Journal
Similarity:
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...
Porosity and continuous, nowhere differentiable functions
Valeriu Anisiu (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces
Luděk Zajíček (1991)
Czechoslovak Mathematical Journal
Similarity: