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Fundamental group and covering spaces: Borsuk-Ulam and aplications

Grant number: 16/21479-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): December 01, 2016
Effective date (End): December 31, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Daniel Vendrúscolo
Grantee:José Rafael Borges Zampiva
Home 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)