Some generalizations on affine invariant points

DOI10.1090/proc/15229zbMath1452.52005arXiv2006.14053OpenAlexW3036428064MaRDI QIDQ5130873

Natalia Jonard-Pérez

Publication date: 29 October 2020

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

Full work available at URL: https://arxiv.org/abs/2006.14053

zbMATH Keywords

topological groupequivariant mapconvex setaffine invariant point

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Topological fields, rings, etc. (topological aspects) (54H13)

Related Items (1)

Some notes on induced functions and group actions on hyperspaces

Cites Work

• A short proof of Grünbaum's conjecture about affine invariant points
• Affine invariant points and new constructions
• A pseudometric invariant under similarities in the hyperspace of non-degenerated compact convex sets of \(\mathbb{R}^n\)
• On the existence of slices for actions of non-compact Lie groups
• Affine invariant points
• Hyperspaces of convex bodies of constant width
• Equivariant generalization of Dugundji's theorem
• Extending equivariant maps into spaces with convex structure
• New results on affine invariant points
• Affine group acting on hyperspaces of compact convex subsets of Rⁿ
• Bodies of Constant Width
• Geometric Aspects of General Topology
• Some Theorems on Equiconnected and Locally Equiconnected Spaces
• The classification of 𝐺-spaces
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