Set theory and infinite combinatorics

• Grant number: 21/02803-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2021
• End date: October 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Leandro Fiorini Aurichi
• Grantee: Luisa Gomes Seixas
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Infinite combinatory is a mathematical branch that mixes some fields and has several applications in other fields. Therefore, this project allows the study of several topics, from many origins. Some of the topics presented are Ramsey Theorem, ordinals and cardinals, Martin axiom, and ultrafilters. (AU)