Minimizing roots of maps between spheres and projective spaces in codimension one

DOI10.1090/PROC/16067zbMath1502.55002OpenAlexW4221072679WikidataQ114094156 ScholiaQ114094156MaRDI QIDQ5039271

Marcio Colombo Fenille, Gustavo de Lima Prado, Daciberg Lima Gonçalves

Publication date: 12 October 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16067

zbMATH Keywords

lower boundroot setsmaps between spheres and projective spaces in codimension one

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• Coincidences in codimension one
• Cohomology of preimages with local coefficients
• Fixed points of \(S^ 1\)-fibrations
• The coincidence Reidemeister classes of maps on nilmanifolds
• Lectures on algebraic topology.
• An alternative proof for the fixed point property of \(\mathbb{C}P^{2n}\)
• One-parameter Lefschetz class of homotopies on torus
• Sur certaines singularites d'applications de variétés topologiques
• Maps into the torus and minimal coincidence sets for homotopies
• Parameterized Lefschetz-Nielsen Fixed Point Theory and Hochschild Homology Traces
• Fixed points on torus fiber bundles over the circle
• Algebraic topology -- homology and homotopy.

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