Topics in algebraic topology: singular homology and applications

• Grant number: 18/04893-3
• Support type: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): May 01, 2018
• Effective date (End): December 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal researcher: Edivaldo Lopes dos Santos
• Grantee: Hermano Drummond Mariani
• Home 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 diferential 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)