Scholarship 22/13561-0 - Forcing, Teoria descritiva dos conjuntos - BV FAPESP
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Consistence and independence in definable graph combinatorics

Grant number: 22/13561-0
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date until: April 01, 2023
Status:Discontinued
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Leandro Fiorini Aurichi
Grantee:Michel Fernandes Gaspar
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated scholarship(s):24/04155-3 - Geometric graphs and Li-Yorke systems, BE.EP.PD

Abstract

The main objective of this project is to answer set-theoretic questions about Borel and measurable colorings of graphs relevant to (1) ergodic theory; (2) hyperbolic geometry; (3) computability and (4) dynamical systems. The main technique that we may employ is iterated forcing of notions that satisfy Axiom A. If the objectives are achieved, we will have contributed to expanding the frontiers of set theory.

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