Theorems of Borsuk-Ulam type for flats and common transversals of families of convex compact sets

DOI10.1070/SM2009v200n10ABEH004045zbMath1187.52007arXiv0905.2747MaRDI QIDQ5852109

Roman N. Karasev

Publication date: 26 January 2010

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2747

zbMATH Keywords

common transversalBorsuk-Ulam theoremHelly-type theorem

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Helly-type theorems and geometric transversal theory (52A35)

Related Items (4)

Generalizations of Tucker-Fan-Shashkin lemmas ⋮ Cutting the same fraction of several measures ⋮ Tverberg-type theorems for intersecting by rays ⋮ Topological transversals to a family of convex sets

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