ESTIMATING THE SIZE OF THE -COINCIDENCES SET IN REPRESENTATION SPHERES

DOI10.1017/s0004972722001125zbMath1525.55002OpenAlexW4306404270MaRDI QIDQ6134299

Denise de Mattos, Edivaldo L. dos Santos, Taciana O. Souza

Publication date: 25 July 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722001125

zbMATH Keywords

Borsuk-Ulam theoremrepresentation spheres\((H,G)\)-coincidence

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• \((H,G)\)-coincidence theorems for manifolds and a topological Tverberg type theorem for any natural number \(r\)
• Coincidences for maps of spaces with finite group actions
• General Bourgin-Yang theorems
• Measuring the size of the coincidence set
• Bourgin-Yang version of the Borsuk-Ulam theorem for \(\mathbb Z_{p^{k}}\)-equivariant maps
• Barycenters of polytope skeleta and counterexamples to the topological Tverberg conjecture, via constraints
• Bourgin-Yang versions of the Borsuk-Ulam theorem for \(p\)-toral groups
• Equivariant maps between representation spheres

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