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An introduction to homotopy theory

Grant number: 16/16633-0
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): October 01, 2016
Effective date (End): September 30, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Alice Kimie Miwa Libardi
Grantee:Cesar Augusto Domingos Barata
Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil


The main goal of this project is to give an introduction to classical homotopic theory. For this, we will study basic concepts and techniques of algebraic topology. In this project the student will start the study with an introduction to language of category and to develop basic concepts of homotopic theory. The following topics will be studied: categories and factors, CW- complexes, pointed spaces, homotopic of maps and homotopic groups.

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