Bisection of measures on spheres and a fixed point theorem

DOI10.12775/TMNA.2020.047zbMath1501.54026OpenAlexW3168601858MaRDI QIDQ2156721

Michael Crabb

Publication date: 20 July 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.047

zbMATH Keywords

fixed pointEuler classinvolutionsymmetric power

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Fixed-point and coincidence theorems (topological aspects) (54H25) Polyhedra and polytopes; regular figures, division of spaces (51M20) Degree, winding number (55M25) Fixed points and coincidences in algebraic topology (55M20) Orbifold cohomology (55N32)

Related Items (1)

More bisections by hyperplane arrangements

Cites Work

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• Aspects of the Borsuk-Ulam theorem
• Topological content of the Maxwell theorem on multipole representation of spherical functions
• More bisections by hyperplane arrangements
• Theorems of Kakutani and Dyson revisited
• Bisecting measures with hyperplane arrangements

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