The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle

DOI10.12775/TMNA.2020.003zbMath1479.55002arXiv1912.06017OpenAlexW3114022062WikidataQ122112946 ScholiaQ122112946MaRDI QIDQ2236458

Vinicius Casteluber Laass, Daciberg Lima Gonçalves, John Guaschi

Publication date: 25 October 2021

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

Full work available at URL: https://arxiv.org/abs/1912.06017

zbMATH Keywords

braid groupshomotopy classBorsuk-Ulam theoremsurfaces

Mathematics Subject Classification ID

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

Related Items (2)

The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle. II ⋮ Free cyclic actions on surfaces and the Borsuk-Ulam theorem

Cites Work

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