Affine group acting on hyperspaces of compact convex subsets of Rn

DOI10.4064/fm223-2-1zbMath1301.57018OpenAlexW2043752234MaRDI QIDQ2866772

Natalia Jonard-Pérez, Sergey A. Antonyan

Publication date: 16 December 2013

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm223-2-1

zbMATH Keywords

hyperspaceconvex setorbit spaceproper actionsliceaffine groupQ-manifoldBanach-Mazur compactum

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Hyperspaces in general topology (54B20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Equivariant homotopy theory in algebraic topology (55P91) Topology of infinite-dimensional manifolds (57N20) Compact groups of homeomorphisms (57S10)

Related Items (12)

A short proof of Grünbaum's conjecture about affine invariant points ⋮ Some notes on induced functions and group actions on hyperspaces ⋮ Hyperspaces of smooth convex bodies up to congruence ⋮ Hyperspaces of convex bodies of constant width ⋮ Characterizing slices for proper actions of locally compact groups ⋮ Some generalizations on affine invariant points ⋮ A pseudometric invariant under similarities in the hyperspace of non-degenerated compact convex sets of \(\mathbb{R}^n\) ⋮ A hyperspace of convex bodies arising from tensor norms ⋮ Hyperspaces of Keller compacta and their orbit spaces ⋮ The Gromov-Hausdorff hyperspace of a Euclidean space ⋮ Equivariant absolute extensor property on hyperspaces of convex sets ⋮ On the topology of some hyperspaces of convex bodies associated to tensor norms

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