On D-spaces, infinite games and category theory

• Grant number: 21/13427-9
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: July 15, 2022
• End date: June 29, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Leandro Fiorini Aurichi
• Grantee: Matheus Duzi Ferreira Costa
• Supervisor: Paul Szeptycki
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: York University, Canada
• Associated to the scholarship: 19/16357-1 - Applications of infinite games, BP.DR

Abstract

This project aims to complement the student's formation by advancing the research started in a paper submitted by the student and the advisor in 2019 in the field of topological games and selection principles, as well as attacking classical open problems in the theory of D-spaces and exploring a new way of connecting infinite games to category theory. (AU)