The fundamental group and some applications

• Grant number: 06/04504-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2007
• End date: December 31, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Tomas Edson Barros
• Grantee: Carolina de Miranda e Pereiro
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

In the present project will be studied the fundamental group of a topological space and some applications, like the theorem of Borsuk-Ulam and the Jordan curve theorem. The estimate time to cover the whole project is 22 months.