The Borsuk-Ulam property for homotopy classes of self-maps of surfaces of Euler characteristic zero

DOI10.1007/s11784-019-0693-zzbMath1418.55001arXiv1608.00397OpenAlexW2963342252WikidataQ127944734 ScholiaQ127944734MaRDI QIDQ2003716

Vinicius Casteluber Laass, Daciberg Lima Gonçalves, John Guaschi

Publication date: 9 July 2019

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00397

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 (7)

Borsuk-Ulam property and sectional category ⋮ The Borsuk-Ulam theorem for \(n\)-valued maps between surfaces ⋮ Nielsen-Borsuk-Ulam number for maps between tori ⋮ The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle. II ⋮ The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle ⋮ The Borsuk-Ulam property for maps from the product of two surfaces into a surface ⋮ Free cyclic actions on surfaces and the Borsuk-Ulam theorem

Cites Work

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• Fixed points of \(n\)-valued maps, the fixed point property and the case of surfaces -- a braid approach
• On presentations of surface braid groups.
• Lower central series of Artin-Tits and surface braid groups.
• Wecken type problems for self-maps of the Klein bottle
• The Nielsen number on surfaces
• The Borsuk-Ulam theorem for surfaces
• Configuration Spaces.

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