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On typical sets in Banach spaces and a parametric Kuratowski-Ulam theorem

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Publication:1042468
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DOI10.1007/s00605-008-0061-3zbMath1196.54052OpenAlexW2108049781MaRDI QIDQ1042468

J. Blot

Publication date: 14 December 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0061-3


zbMATH Keywords

Banach spacesconvex setcompact setBaire categorytypical sets


Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Geometry and structure of normed linear spaces (46B20) Compactness in Banach (or normed) spaces (46B50) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)


Related Items

Generic properties of compact metric spaces



Cites Work

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  • Some new results on smoothness and rotundity in normed linear spaces
  • The convex hull of a typical compact set
  • Dimension and structure of typical compact sets, continua and curves
  • Strange phenomena in convex and discrete geometry. Ed. by James J. Dudziak
  • The strange aspect of most compacta
  • How Many Sets are Porous?
  • Generic Properties of Compact Starshaped Sets
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