Hyperspaces of convex bodies of constant width

DOI10.1016/j.topol.2014.05.027zbMath1338.57020arXiv1312.4141OpenAlexW2962786030MaRDI QIDQ897421

Natalia Jonard-Pérez, Saúl Juárez-Ordóñez, Sergey A. Antonyan

Publication date: 18 December 2015

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

Full work available at URL: https://arxiv.org/abs/1312.4141

zbMATH Keywords

hyperspaceconvex bodyconstant width\(Q\)-manifoldconstant relative width

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Topology of infinite-dimensional manifolds (57N20) Compact groups of homeomorphisms (57S10) General convexity (52A99)

Related Items (5)

Hyperspaces of smooth convex bodies up to congruence ⋮ Some generalizations on affine invariant points ⋮ Infinite-dimensional hyperspaces of convex bodies of constant width ⋮ A hyperspace of convex bodies arising from tensor norms ⋮ On the topology of some hyperspaces of convex bodies associated to tensor norms

Cites Work

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• Affine group acting on hyperspaces of compact convex subsets of Rⁿ
• Bodies of constant width in arbitrary dimension

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