Borsuk-Ulam type theorems for manifolds

DOI10.1090/S0002-9939-2011-11094-3zbMath1278.55007arXiv0912.0787MaRDI QIDQ2845070

Oleg R. Musin

Publication date: 22 August 2013

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

Full work available at URL: https://arxiv.org/abs/0912.0787

zbMATH Keywords

Borsuk-Ulam theoremgroup actionequivariant cobordismdegree one mappings

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Equivariant cobordism (57R85) Classical topics in algebraic topology (55M99)

Related Items (9)

Towards a noncommutative Brouwer fixed-point theorem ⋮ \(\mathbb Z_2\)-bordism and the Borsuk-Ulam theorem ⋮ Generalizations of Tucker-Fan-Shashkin lemmas ⋮ The Borsuk-Ulam theorem for planar polygon spaces ⋮ KKM type theorems with boundary conditions ⋮ An extension of a theorem of Yao and Yao ⋮ Extensions of Sperner and Tucker's lemma for manifolds ⋮ 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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• Beginner's course in topology. Geometric chapters. Transl. from the Russian by A. Iacob
• Smooth equivariant triangulations of G-manifolds for G a finite group
• On projected embeddings and desuspending the \(\alpha\)-invariant
• Fixed point free involutions and equivariant maps
• Borsuk's theorem through complementary pivoting
• General Position of Equivariant Maps
• Transversality in G-Manifolds
• A New and Constructive Proof of the Borsuk-Ulam Theorem
• 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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