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Strobin, Filip

Porosity of convex nowhere dense subsets of normed linear spaces. (English) Zbl 1192.46020

Abstr. Appl. Anal. 2009, Article ID 243604, 11 p. (2009).
Summary: This paper is devoted to the following question: how to characterize convex nowhere dense subsets of normed linear spaces in terms of porosity? The motivation for this study originates from papers of V. Olevskii and L. Zajíček, where it is shown that convex nowhere dense subsets of normed linear spaces are porous in some strong senses.

Cited in 3 Documents

MSC:

46B99 Normed linear spaces and Banach spaces; Banach lattices

Keywords:

nowhere dense subsets; porosity
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References:

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