| Full text | |
| Author(s): |
Monis, Thais F. M.
;
Wong, Peter
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Topology and its Applications; v. 229, p. 213-225, SEP 15 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
Let f(1) ,..., f(k) : X -> N be maps from a complex X to a compact manifold N, k >= 2. In previous works {[}1,12], a Lefschetz type theorem was established so that the non-vanishing of a Lefschetz type coincidence class L(f(1), f(k)) implies the existence of a coincidence x is an element of X such that f(1)(x) = ... = f(k)(x). In this paper, we investigate the converse of the Lefschetz coincidence theorem for multiple maps. In particular, we study the obstruction to deforming the maps f(1),...,f(k) to be coincidence free. We construct an example of two maps f(1), f(2) : M -> T from a sympletic 4-manifold M to the 2-torus T such that f(1) and f(2) cannot be homotopic to coincidence free maps but for any f : M -> T, the maps f(1), f(2), f are deformable to be coincidence free. (C) 2017 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 14/17609-0 - Obstruction theory for coincidences between several maps |
| Grantee: | Thaís Fernanda Mendes Monis |
| Support Opportunities: | Regular Research Grants |