Generalizations of Tucker-Fan-Shashkin lemmas

DOI10.1007/s40598-016-0045-7zbMath1355.55004arXiv1409.8637OpenAlexW2128252344WikidataQ124943759 ScholiaQ124943759MaRDI QIDQ338643

Oleg R. Musin

Publication date: 7 November 2016

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.8637

zbMATH Keywords

Borsuk-Ulam theoremdegree of mappingKy Fan lemmaShashkin lemmaTucker lemma

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) General topology of complexes (57Q05) Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Fixed points and coincidences in algebraic topology (55M20)

Related Items (4)

KKM type theorems with boundary conditions ⋮ Balanced 2-subsets ⋮ Towards a proof of the 24-cell conjecture ⋮ Borsuk-Ulam type theorems for \(G\)-spaces with applications to Tucker type lemmas

Cites Work

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• Extensions of Sperner and Tucker's lemma for manifolds
• A generalization of Tucker's combinatorial lemma with topological applications
• Borsuk - Ulam Type spaces
• Borsuk-Ulam type theorems for manifolds
• Fixed point free involutions and equivariant maps
• Fixed Points
• Equivalent Formulations of the Borsuk-Ulam Theorem
• Theorems of Borsuk-Ulam type for flats and common transversals of families of convex compact sets
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler

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