Introduction to measure theory

• Grant number: 19/13484-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2019
• End date: July 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Christophe Frédéric Gallesco
• Grantee: Piero Ruzzi Ramalho
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this Project, the student will have the opportunity to begin a study on one of the main areas of mathematics, measure theory. In the first part of the project, the student will expand his knowledge in analysis and familiarize himself with the main notions of measure theory. In the second part of the project, he will mainly focus on the problem of existence and uniqueness of the Lebesgue measure.