Fundamental group and covering spaces: Borsuk-Ulam and aplications

• Grant number: 16/21479-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2016
• End date: December 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Vendrúscolo
• Grantee: José Rafael Borges Zampiva
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 12/24454-8 - Algebraic, geometric and differential topology, AP.TEM

Abstract

The project intends to study the first ideas from topology and the basics concepts from algebraic topology, in particular fundamental group and covering spaces, moreover we will study some classical theorems including the Borsuk-Ulam Theorem and aplications. The mean purpose of this project is to prepare the student for the study of more strong tools from algebraic topology in a way to made a master in such subject. (AU)