Roots of maps from 2-dimensional complexes into closed surfaces.

• Grant number: 07/05843-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2008
• End date: February 28, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Oziride Manzoli Neto
• Grantee: Márcio Colombo Fenille
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this work we intent to complete the study of roots of maps from complexes to manifolds, of the same dimension, focusing the two dimensional case, which is the only remaining case to complete this study.

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FENILLE, MARCIO COLOMBO; MANZOLI NETO, OZIRIDE. Minimal Nielsen Root Classes and Roots of Liftings. Fixed Point Theory and Applications, 2009. (07/05843-5)

FENILLE, MARCIO C.; NETO, OZIRIDE M.. ROOT PROBLEM FOR CONVENIENT MAPS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 36, n. 2, p. 327-352, DEC 2010. (07/05843-5)

FENILLE, MARCIO COLOMBO; MANZOLI NETO, OZIRIDE. Minimal Nielsen Root Classes and Roots of Liftings. FIXED POINT THEORY AND APPLICATIONS, v. N/A, p. 16-pg., 2009-01-01. (07/05843-5)

FENILLE, MARCIO COLOMBO; MANZOLI NETO, OZIRIDE. Strong surjectivity of maps from 2-complexes into the 2-sphere. Central European Journal of Mathematics, v. 8, n. 3, p. 421-429, JUN 2010. (07/05843-5)

FENILLE, MARCIO COLOMBO. MINIMIZING ROOTS OF MAPS INTO THE TWO-SPHERE. MATHEMATICA SCANDINAVICA, v. 111, n. 1, p. 92-106, 2012. (07/05843-5)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

FENILLE, Márcio Colombo. Roots of maps from 2-dimensional complexes into closed surfaces. 2010. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.