How Many Sets are Porous?

DOI10.2307/2045976zbMath0625.54036OpenAlexW4235905297MaRDI QIDQ3027892

Tudor I. Zamfirescu

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2045976

zbMATH Keywords

Hausdorff metricfirst categorycomplete convex metric spaceporous subset

Mathematics Subject Classification ID

Complete metric spaces (54E50) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Baire category, Baire spaces (54E52) Classical Banach spaces in the general theory (46B25)

Related Items (10)

On Hausdorff dimensions of quasiconformal curves ⋮ Dimension and structure of typical compact sets, continua and curves ⋮ On typical compact submanifolds of the Euclidean space ⋮ Porosity and unique completion in strictly convex spaces ⋮ Porosity and typical properties of real-valued continuous functions ⋮ Generic properties of compact metric spaces ⋮ Porosity and continuous, nowhere differentiable functions ⋮ The nearest point mapping is single valued nearly everywhere ⋮ On typical sets in Banach spaces and a parametric Kuratowski-Ulam theorem ⋮ Ambiguous loci of the nearest point mapping in Banach spaces

Cites Work

• Nearly all convex bodies are smooth and strictly convex
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