A Borsuk-Ulam theorem for orthogonal \(T^ k\) and \(Z^ r_ p\) actions and applications

DOI10.1016/0022-247X(89)90275-8zbMath0706.55001OpenAlexW143088820MaRDI QIDQ919311

Wacław Marzantowicz

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90275-8

zbMATH Keywords

torus actionsBorsuk-Ulam propertyactions of products of \({\mathbb{Z}}/p\)k-dimensional torusp-torus

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17) Fixed points and coincidences in algebraic topology (55M20) Compact groups of homeomorphisms (57S10)

Related Items (8)

Determination of compact Lie groups with the Borsuk-Ulam property ⋮ ENVY‐FREE DIVISION USING MAPPING DEGREE ⋮ The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle. II ⋮ Periodic solutions of symmetric autonomous Newtonian systems ⋮ Variational properties of the first curve of the Fučík spectrum for elliptic operators ⋮ On algebraic problems behind the Brouwer degree of equivariant maps ⋮ On the Fučík spectrum of the Laplacian on a torus ⋮ A simple proof of the degree formula for \((\mathbb{Z}/p)\)-equivariant maps

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