Reduced boundaries and convexity

DOI10.1090/S0002-9939-2013-11099-3zbMath1263.52003OpenAlexW2031902995MaRDI QIDQ4910789

David G. Caraballo

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11099-3

zbMATH Keywords

densityconvexsupportseparationsupporting hyperplanemeasure-theoretic boundaryreduced boundarynearest pointtopological boundarysupporting half-space

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (1)

Support and separation properties of convex sets in finite dimension

Cites Work

• Nuovi teoremi relativi alle misure \((r - 1)\)-dimensionali in uno spazio ad \(r\) dimensioni
• Crystals and polycrystals in \(\mathbb R^n\): lower semicontinuity and existence
• An `economics proof' of the supporting hyperplane theorem.
• Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
• The Gauss-Green Theorem
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