Artículos de revistas
Minimal Nielsen Root Classes and Roots of Liftings
Fecha
2009Registro en:
FIXED POINT THEORY AND APPLICATIONS, NEW YORK, JUN 16, 2009
1687-1820
10.1155/2009/346519
Autor
FENILLE, Marcio Colombo
MANZOLI NETO, Oziride
Institución
Resumen
Given a continuous map f : K -> M from a 2-dimensional CW complex into a closed surface, the Nielsen root number N(f) and the minimal number of roots mu(f) of f satisfy N(f) <= mu(f). But, there is a number mu(C)(f) associated to each Nielsen root class of f, and an important problem is to know when mu(f) = mu(C)(f)N(f). In addition to investigate this problem, we determine a relationship between mu(f) and mu((f) over tilde), when (f) over tilde f is a lifting of f through a covering space, and we find a connection between this problems, with which we answer several questions related to them when the range of the maps is the projective plane.