He has Graduation at Mathematics by University of São Paulo (2020). He is currently enrolled in the Masters in Mathematics by the University of São Paulo, he has a scholarship from FAPESP and the project's title is Open Coloring Axiom and other coloring applications. (Source: Lattes Curriculum)
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The Open Coloring Axiom (OCA) is an axiom in set theory that is not a ZFC axiom. Its study involves several applications in a various contexts, among them, it is possible to mention studies regarding the consistency of OCA with the ZFC axioms, results about subsets of the real line (which can be generalized to separable metric spaces) and Boolean algebras. Furthermore, it is an objective …
Constructions of "strange" subspaces on the line (or R ^ n) have several applications: an immediate one is the existence in itself of subspaces, often serving as counterexample; a second application is the form of construction - it is often necessary to develop a whole technique for the construction of the subspace. This project addresses these two aspects in the construction of various s…
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