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Introduction to algebraic topology

Grant number: 14/15885-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): September 01, 2014
Effective date (End): August 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Alice Kimie Miwa Libardi
Grantee:Bianca Barreiro
Home Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

The main goal of this project is to give a solid foundation for the student to continue his studies in Fixed Point and Coincidence Theories. In this sense, basic concepts and techniques of Algebraic Topology will be studied. The topics that will be covered are: graphs, homology groups of a simplicial complex, surfaces, relative homology and Eilenberg-Steenrod axioms, graphs on surfaces, topics on singular homology and the Lefschetz-Hopf fixed point Theorem. (AU)

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