On -porous sets in abstract spaces.
Zajíček, L. (2005)
Abstract and Applied Analysis
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Displaying similar documents to “Porosity and compacta with dense ambiguous loci of metric projections”
On -porous sets in abstract spaces.
Porosity of convex nowhere dense subsets of normed linear spaces.
Strobin, Filip (2009)
Abstract and Applied Analysis
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A generalized -porous set with a small complement.
Tišer, Jaroslav (2005)
Abstract and Applied Analysis
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On the singlevaluedness and differentiation of metric projections
Zajíček, L.
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Metric spaces with the small ball property
Ehrhard Behrends, Vladimir M. Kadets (2001)
Studia Mathematica
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A metric space (M,d) is said to have the small ball property (sbp) if for every ε₀ > 0 it is possible to write M as the union of a sequence (B(xₙ,rₙ)) of closed balls such that the rₙ are smaller than ε₀ and lim rₙ = 0. We study permanence properties and examples of sbp. The main results of this paper are the following: 1. Bounded convex closed sets in Banach spaces have sbp only if they are compact. 2. Precisely the finite-dimensional Banach spaces have sbp. (More generally: a complete...
The Krein-Šmulian theorem and its extension
Antonio S. Granero (2008)
Acta Universitatis Carolinae. Mathematica et Physica
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