Reeb sphere theorem

• Grant number: 17/13913-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2017
• End date: November 30, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Rafael de Freitas Leão
• Grantee: Ygor Arthur Cesar de Jesus
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The objective of this project is to introduce the student to differential topology concepts. For these we are using as final objective the Reeb's Sphere Theorem, witch asserts that a manifold with a function with exactly two non degenerate critical points is homeomorphic to a sphere. (AU)