The Borsuk-Ulam theorem for maps into a surface

DOI10.1016/J.TOPOL.2010.02.024zbMath1194.55005arXiv1003.4904OpenAlexW2085088668MaRDI QIDQ975223

John Guaschi, Daciberg Lima Gonçalves

Publication date: 9 June 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4904

zbMATH Keywords

surfacesurface braid groupfree involutionBorsuk-Ulam type theorem

Mathematics Subject Classification ID

Continua and generalizations (54F15) Fixed points and coincidences in algebraic topology (55M20)

Related Items (12)

Borsuk-Ulam property and sectional category ⋮ The Borsuk-Ulam theorem for \(n\)-valued maps between surfaces ⋮ The groups Aut and Out of the fundamental group of a closed Sol 3-manifold ⋮ 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 ⋮ Nielsen coincidence theory applied to Borsuk-Ulam geometric problems ⋮ 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 ⋮ Diagonal involutions and the Borsuk-Ulam property for product of surfaces ⋮ Free cyclic actions on surfaces and the Borsuk-Ulam theorem ⋮ Diagonal approximation and the cohomology ring of the fundamental groups of surfaces

Cites Work

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• Braid groups of non-orientable surfaces and the Fadell-Neuwirth short exact sequence
• Poincaré duality groups of dimension two. II
• Poincaré duality groups of dimension two
• Free involutions on lens spaces
• The braid groups of the projective plane.
• On presentations of surface braid groups.
• The Nielsen number on surfaces
• THE BRAID GROUP $B_{n,m}(\mathbb{S}^{2})$ AND A GENERALISATION OF THE FADELL–NEUWIRTH SHORT EXACT SEQUENCE
• The Borsuk-Ulam theorem for surfaces
• Configuration Spaces.
• Braid Groups of Compact 2-Manifolds with Elements of Finite Order
• On the structure of surface pure braid groups.

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