G-index theory and degree of G-equivarint maps

• Grant number: 08/01865-7
• Support Opportunities: Scholarships in Brazil - Master
• Start date: September 01, 2008
• End date: March 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Norbil Leodan Cordova Neyra
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The objective of this project is to present a study of the G-index defined by Fadell and Husseini in [Fadell, E., Husseini, S., An ideal-valued cohomological index theory with applications to Borsuk-Ulamand Bourgin-Yang theorems. Ergodic Theory Dynam. Systems 8, Charles Conley Memorial Issue,73-85, 1988.] and to use such index in study of the results about degree of G-equivariant maps proved by Hara in [Hara, Y. The degree of equivariant maps. Topology Appl. 148 113-121, 2005]. As applications, some generalizations of Borsuk-Ulam theorems will be presented.

Academic Publications

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

NEYRA, Norbil Leodan Cordova. G-index theory and degree of G-equivariant maps. 2010. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.