Scholarship 19/00623-4 - Topologia algébrica, Teorema do ponto fixo - BV FAPESP
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Simplicial homology and applications

Grant number: 19/00623-4
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Start date until: March 01, 2019
End date until: April 30, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Daniel Vendrúscolo
Grantee:Nathan Lubawski
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

We intend to do a systematic stud of simplicial homology theory. After that some classical applications will be discussed, in particular the definition of degree of a continues map (at least for self-maps of the sphere), the Brower's fixed point theorem and Lefschetz's fixed point theorem.

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