Coincidence properties for maps from the torus to the Klein bottle

DOI10.1007/s11401-007-0099-xzbMath1151.55002OpenAlexW2062778531MaRDI QIDQ943069

Michael R. Kelly, Daciberg Lima Gonçalves

Publication date: 8 September 2008

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-007-0099-x

zbMATH Keywords

Nielsen numbercoincidence pointWecken propertyReidemeister classes

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed-point theorems on manifolds (58C30) Fixed points and coincidences in algebraic topology (55M20)

Related Items (5)

Wecken homotopies ⋮ The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle ⋮ Axioms for the coincidence index of maps between manifolds of the same dimension ⋮ Coincidence Wecken homotopies versus Wecken homotopies relative to a fixed homotopy in one of the maps. II ⋮ Coincidence Wecken homotopies versus Wecken homotopies relative to a fixed homotopy in one of the maps

Cites Work

• Unnamed Item
• Some examples concerning homotopies of fixed point free maps
• Fixed point sets of homotopies
• Coincidences of maps into homogeneous spaces
• The coincidence Nielsen number on non-orientable manifolds
• Nielsen numbers for roots of maps of aspherical manifolds
• Wecken type problems for self-maps of the Klein bottle
• Mappings of manifolds and the notion of degree
• Maps into the torus and minimal coincidence sets for homotopies
• One-parameter Fixed Point Theory
• One codimensional Wecken type theorems
• Parameterized Lefschetz-Nielsen Fixed Point Theory and Hochschild Homology Traces
• The minimal number of roots of surface mappings and quadratic equations in free groups
• Maps between surfaces and minimal coincidence sets for homotopies

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