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Curvature properties of typical convex surfaces

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Publication:1098413
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DOI10.2140/pjm.1988.131.191zbMath0637.52005OpenAlexW2091397016MaRDI QIDQ1098413

Tudor I. Zamfirescu

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.131.191


zbMATH Keywords

curvatureBaire categorytypical convex surface


Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items (7)

On two conjectures of Franz Hering about convex surfaces ⋮ Infinite curvature on typical convex surfaces ⋮ Double normals of most convex bodies ⋮ Nondifferentiability properties of the nearest point mapping ⋮ Curvatures of typical convex bodies— the complete picture ⋮ Typical monotone continuous functions ⋮ Moderate smoothness of most Alexandrov surfaces




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