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Homotopy Theory: an Introduction to Algebraic Topology

Grant number: 12/21903-6
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): March 01, 2013
Effective date (End): December 31, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Thiago de Melo
Grantee:Givanildo Donizeti de Melo
Home Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

The aim of this project is an introductory study of Homotopy Theory, a branch of Algebraic Topology. More precisely, we will study the most basic invariant in Homotopy Theory, which is the Fundamental Group. We also intend to solve some mathematical problems through the use of this group. Finally, we hope the student will obtain a good education to attend a graduate course in the Algebraic Topology.