Free cyclic actions on surfaces and the Borsuk-Ulam theorem

DOI10.1007/s10114-022-2202-3zbMath1505.55003arXiv2204.02065OpenAlexW4297035615MaRDI QIDQ2096933

Vinicius Casteluber Laass, John Guaschi, Daciberg Lima Gonçalves

Publication date: 11 November 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02065

zbMATH Keywords

braid groupsBorsuk-Ulam theoremcyclic groupssurfaces

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• The Borsuk-Ulam theorem for maps into a surface
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Knots and graphs
• The Borsuk-Ulam property for homotopy classes of self-maps of surfaces of Euler characteristic zero
• The Borsuk-Ulam property for maps from the product of two surfaces into a surface
• The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle
• Diagonal involutions and the Borsuk-Ulam property for product of surfaces
• Artin braid groups and homotopy groups
• The Borsuk-Ulam theorem for surfaces
• Configuration Spaces.

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