A GENERALIZATION OF THE BORSUK-ULAM THEOREM

DOI10.1070/SM1980v036n02ABEH001782zbMath0433.55001OpenAlexW2080873032MaRDI QIDQ3871575

Alexey Volovikov

Publication date: 1980

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1980v036n02abeh001782

zbMATH Keywords

Borsuk-Ulam theoremfree actions of cyclic groups of prime ordermaps into topological manifolds which are constant on each orbit

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Characteristic classes and numbers in differential topology (57R20) Finite transformation groups (57S17) Fixed points and coincidences in algebraic topology (55M20) Poincaré duality spaces (57P10)

Related Items (3)

General Bourgin-Yang theorems ⋮ A fixed point theorem and equivariant points for set-valued mappings ⋮ Borsuk-Ulam type theorems for \(G\)-spaces with applications to Tucker type lemmas

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