ROOT PROBLEM FOR CONVENIENT MAPS

Autor(es)

Fenille, Marcio C. ^[1] ; Neto, Oziride M. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 36, n. 2, p. 327-352, DEC 2010.
• Citações Web of Science: 4

Resumo

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)

• Processo FAPESP: 07/05843-5 - Raízes de funções de complexos 2-dimensionais em superfícies fechadas.
• Beneficiário: Márcio Colombo Fenille
• Modalidade de apoio: Bolsas no Brasil - Doutorado