Topics in algebraic topology: singular homology and applications

• Grant number: 18/04893-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2018
• End date: December 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edivaldo Lopes dos Santos
• Grantee: Hermano Drummond Mariani
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM

Abstract

The purpose of this research project is to approach some concepts, techniques and applications of Algebraic Topology. Initially, Homological Algebra topics will be studied, which are prerequisites for the later development of the singular homology theory and applications, such as the Jordan-Brouwer separation theorem and the invariance of domain theorem. (AU)