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Topics in algebraic topology and applications

Grant number: 18/01107-7
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): April 01, 2018
Effective date (End): March 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Alice Kimie Miwa Libardi
Grantee:Pedro Henrique Muller Bortolucci
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 prepare the student to a graduate course in Mathematics. He will study basic topics in Algebraic Topology, particularly fundamental groups, Singular Homology theory, Orientation of Manifolds, Singular Cohomology Theory, Cup and Cap Products and Poincaré Duality. (AU)