Nielsen coincidence theory applied to Borsuk-Ulam geometric problems

DOI10.1016/j.topol.2012.05.031zbMath1260.55003OpenAlexW1983938828MaRDI QIDQ694669

Fabiana Santos Cotrim, Daniel Vendrúscolo

Publication date: 13 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.05.031

zbMATH Keywords

polyhedronBorsuk-Ulam theoremHopf constructionNielsen coincidence theory

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 (1)

Nielsen-Borsuk-Ulam number for maps between tori

Cites Work

• The Borsuk-Ulam theorem for homotopy spherical space forms
• The Borsuk-Ulam theorem for maps into a surface
• Fix-finite homotopies
• Some generalizations of the Borsuk--Ulam Theorem
• The Borsuk-Ulam theorem for surfaces
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