Infinite-dimensional hyperspaces of convex bodies of constant width

DOI10.1016/j.topol.2014.08.030zbMath1320.52005OpenAlexW1983105532MaRDI QIDQ465864

Mykhailo Zarichnyi, Lidiya Bazylevych

Publication date: 24 October 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2014.08.030

zbMATH Keywords

convexityconstant widthinfinite-dimensional manifold

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Topology of infinite-dimensional manifolds (57N20)

Cites Work

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• In- and circumcenters of manifolds of constant width
• Convex bodies forming pairs of constant width
• Width and breadth for convex bodies in Riemannian manifolds
• Hyperspaces of convex bodies of constant width
• On \({\mathbb{R}}^{\infty}\)-manifolds and \(Q^{\infty}\)-manifolds
• Hyperspaces of compact convex sets
• Topology of the hyperspace of convex bodies of constant width
• On convex bodies of constant width
• Diametrically Maximal and Constant Width Sets in Banach Spaces
• Reuleaux polytopes

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