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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ROOT PROBLEM FOR CONVENIENT MAPS

Author(s):
Fenille, Marcio C. [1] ; Neto, Oziride M. [2]
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 type: Scholarships in Brazil - Doctorate