Abstract
LetX;Y be manifolds of the same dimension. Given continuous mappings fi;gi : X ! Y , i = 0; 1, we consider the 1-parameter coincidence problem of nding homotopies ft;gt, 0 t 1, such that the number of coincidence points for the pair ft;gt is independent of t. When Y is the torus and f0;g0 are coincidence free we produce coincidence free pairs f1;g1 such that no homotopy joining them is coincidence free at each level. When X is also the torus we characterize the solution of the problem in terms of the Lefschetz coincidence number.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
