A Borsuk-Ulam theorem for compact Lie group actions

DOI10.1007/s00574-006-0007-0zbMath1102.55001OpenAlexW1972246255WikidataQ115385768 ScholiaQ115385768MaRDI QIDQ2507559

Denise de Mattos, Carlos Biasi

Publication date: 4 October 2006

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-006-0007-0

zbMATH Keywords

equivariant mapBorsuk-Ulam theoremfree actioncompact Lie group

Mathematics Subject Classification ID

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

Related Items (7)

Towards a noncommutative Brouwer fixed-point theorem ⋮ Estimates of the isovariant Borsuk-Ulam constants of connected compact Lie groups ⋮ The Borsuk-Ulam type theorems for finite-dimensional compact group actions ⋮ Determination of compact Lie groups with the Borsuk-Ulam property ⋮ On the existence of \(G\)-equivariant maps ⋮ The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle. II ⋮ Elementary abelian \({p}\)-groups are the only finite groups with the Borsuk-Ulam property

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