Fundamental Group-A geometric vision

• Grant number: 10/15206-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2010
• End date: October 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: João Peres Vieira
• Grantee: Aline Cristina de Souza
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

In this project we will develop the study of the fundamental group. We will see that the fundamental group is an invariant topological, i,e., homeomorphic spaces have fundamental groups isomorphic. Also we will estudy important applications, such as the Brouwer's fixed point theorem and the Borsuk-Ulam's theorem.