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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)

News published in Agência FAPESP Newsletter about the scholarship: