Obstruction theory for coincidences between several maps

• Grant number: 14/17609-0
• Support Opportunities: Regular Research Grants
• Start date: January 01, 2015
• End date: December 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Thaís Fernanda Mendes Monis
• Grantee: Thaís Fernanda Mendes Monis
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

Let f_1,..., f_k be maps defined on a complex X and with values in a compact manifold N, k greater than or equal 2. In recent work, it was obtained theorems of Lefschetz type for several maps. That is, the non-vanishing of a Lefschetz type coincidence class L(f_1,...,f_k) implies the existence of a coincidence x in X such that f_1(x)=...=f_k(x). In this project, we further investigate the coincidence problem for several maps. In particular, we study the obstruction to deforming the maps f_1,...,f_k to be coincidence free. (AU)

Scientific publications

(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)

MONIS, THAIS F. M.; WONG, PETER. Obstruction theory for coincidences of multiple maps. Topology and its Applications, v. 229, p. 213-225, SEP 15 2017. (14/17609-0)