Introduction to algebraic topology

• Grant number: 18/19525-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2018
• End date: May 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Maria Aparecida Soares Ruas
• Grantee: Frederico Rossetto Bianchini
• Host 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.