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Introduction to measure theory

Grant number: 19/13484-2
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): August 01, 2019
Effective date (End): July 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Christophe Frédéric Gallesco
Grantee:Piero Ruzzi Ramalho
Home 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.