| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Fed Itaiuba, Inst Ciencias Exatas, BR-37500903 Itajuba, MG - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 36, n. 2, p. 327-352, DEC 2010. |
| Web of Science Citations: | 4 |
| Abstract | |
In this paper we study when the minimal number of roots of the so-called convenient maps horn two-dimensional CW complexes into closed surfaces is zero We present several necessary and sufficient conditions for such a map to be root free Among these conditions we have the existence of specific fittings for the homomorphism induced by the map on the fundamental groups, existence of the so-called mutation of a specific homomorphism also induced by the map, and existence of particular solutions of specific systems of equations on free groups over specific subgroups (AU) | |
| FAPESP's process: | 07/05843-5 - Roots of maps from 2-dimensional complexes into closed surfaces. |
| Grantee: | Márcio Colombo Fenille |
| Support Opportunities: | Scholarships in Brazil - Doctorate |