ROOT PROBLEM FOR CONVENIENT MAPS


Autoria(s): FENILLE, Marcio C.; Manzoli Neto, Oziride
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2010

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

FAPESP[2007/05843-5]

Identificador

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, TORUN, v.36, n.2, p.327-352, 2010

1230-3429

http://producao.usp.br/handle/BDPI/28811

https://www.tmna.ncu.pl/static/archives/vol-36-2.html

Idioma(s)

eng

Publicador

JULIUSZ SCHAUDER CTR NONLINEAR STUDIES

TORUN

Relação

Topological Methods in Nonlinear Analysis

Direitos

closedAccess

Copyright JULIUSZ SCHAUDER CTR NONLINEAR STUDIES

Palavras-Chave #Root problem #convenient map #mutation of homomorphism #symbolic mutation #system of equation on free group #Mathematics
Tipo

article

original article

publishedVersion