Generic Properties of Compact Starshaped Sets

DOI10.2307/2047715zbMath0683.52008OpenAlexW4243974782MaRDI QIDQ4733001

Peter M. Gruber, Tudor I. Zamfirescu

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047715

zbMATH Keywords

Hausdorff dimensionporositystarshaped setset of directionssingle point kernel

Mathematics Subject Classification ID

Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (9)

Ambiguous loci of the metric projection onto compact starshaped sets in a Banach space ⋮ Unnamed Item ⋮ Dimension and structure of typical compact sets, continua and curves ⋮ A characterization for compact sets in the space of fuzzy star-shaped numbers with \(L_p\) metric ⋮ Average Hewitt-Stromberg and box dimensions of typical compact metric spaces ⋮ Porosity and unique completion in strictly convex spaces ⋮ Starshaped sets ⋮ On typical sets in Banach spaces and a parametric Kuratowski-Ulam theorem ⋮ On average Hewitt-Stromberg measures of typical compact metric spaces

Cites Work

• Typical starshaped sets
• Dimension and structure of typical compact sets, continua and curves
• Description of most starshaped surfaces
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