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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.)

Minimal Nielsen Root Classes and Roots of Liftings

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Author(s):
Fenille, Marcio Colombo [1] ; Manzoli Neto, Oziride [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Fixed Point Theory and Applications; 2009.
Web of Science Citations: 3
Abstract

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. (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