On convex bodies of constant width

DOI10.1016/j.topol.2004.08.025zbMath1094.54003arXivmath/0401060OpenAlexW1989977602MaRDI QIDQ2493886

Mykhailo Zarichnyi, Lidiya Bazylevych

Publication date: 16 June 2006

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

Full work available at URL: https://arxiv.org/abs/math/0401060

zbMATH Keywords

convex bodyconstant widthsoft map\(q\)-manifold

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

Hyperspaces of smooth convex bodies up to congruence ⋮ Hyperspaces of convex bodies of constant width ⋮ Infinite-dimensional hyperspaces of convex bodies of constant width ⋮ On the topology of some hyperspaces of convex bodies associated to tensor norms

Cites Work

• Convex bodies forming pairs of constant width
• Hyperspaces of compact convex sets
• Topology of the hyperspace of convex bodies of constant width
• On the hyperspace of strictly convex bodies
• On some applications of infinite-dimensional manifolds to the theory of shape
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