Strong surjections from two-complexes with odd order top-cohomology onto the projective plane

DOI10.1007/s11784-023-01066-8arXiv2110.05569MaRDI QIDQ6171186

Oziride Manzoli Neto, Daciberg Lima Gonçalves, Marcio Colombo Fenille

Publication date: 17 July 2023

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

Full work available at URL: https://arxiv.org/abs/2110.05569

zbMATH Keywords

homotopy classescohomology with local coefficientsprojective planetwo-dimensional complexesstrong surjectionstopological root theory\((2, 1)\)-presentations

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Fixed points and coincidences in algebraic topology (55M20) Fundamental group, presentations, free differential calculus (57M05) Homology with local coefficients, equivariant cohomology (55N25)

Cites Work

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• Strong surjections from two-complexes with trivial top-cohomology onto the torus
• The trivial homotopy class of maps from two-complexes into the real projective plane
• Root problem for convenient maps
• Convenient maps from one-relator model two-complexes into the real projective plane
• Strongly surjective maps from certain two-complexes with trivial top-cohomology onto the projective plane
• The fundamental group of the space of maps from a surface into the projective plane

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