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Topics in algebraic topology: singular homology and applications

Grant number: 18/04893-3
Support Opportunities: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 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


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)

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