| Full text | |
| Author(s): |
Goncalves, Daciberg L.
;
Randall, Duane
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Fixed Point Theory and Applications; v. 19, n. 2, p. 1011-1040, JUN 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
Let f, g: be a pair of maps between spheres. We further explore previous results about the coincidence of a pair of maps between spheres. We give special attention to the case of self-coincidence (i.e., (f, f): ) in which we consider the question of making the pair homotopy disjoint by a small deformation whenever the pair can be made coincidence free. When M is the sphere , we basically update the results from {[}C. R. Acad. Sci. Paris Ser. I 342 (2006), 511-513] based on the new results of the Kervaire invariant one problem. When M is either the sphere or the sphere S (4n) , we classify all pairs () which are homotopy disjoint; and for maps f such that (f, f) can be deformed to coincidence free, the ones such that (f, f) can be deformed to coincidence free by a small deformation. Finally, we give families of functions such that () is homotopy disjoint but not by a small deformation. (AU) | |
| FAPESP's process: | 12/24454-8 - Algebraic, geometric and differential topology |
| Grantee: | Daciberg Lima Gonçalves |
| Support Opportunities: | Research Projects - Thematic Grants |