Topics on algebraic topology

• Grant number: 14/27299-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2015
• End date: December 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Leandro Vicente Mauri
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 12/24454-8 - Algebraic, geometric and differential topology, AP.TEM

Abstract

The goal of this research project is to approach some concepts, techniques and applications of the Algebraic Topology. First, it will be studied topics of homological algebra, which are prerequisites for the further development of singular homology theory and applications, as the Jordan-Brouwer separation theorem.