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Introduction to algebraic topology

Grant number: 18/19525-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): October 01, 2018
Effective date (End): May 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Maria Aparecida Soares Ruas
Grantee:Frederico Rossetto Bianchini
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

Basic concepts of Algebraic Topology are extremely important for developing scientific research on Topology of Singular Sets. An important concept, very utilized presently, is Intersection Homology. This concept is rarely studied by early graduate students, for these students don't have a very deep understanding on basic topics of Algebraic Topology. Aiming to give a basis to study more abstract concepts, we present a project based on Algebraic Topology's main tools, needed for these studies.