Set Theory: Forcing and its Iterations

• Grant number: 19/01388-9
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 01, 2019
• End date: February 29, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Artur Hideyuki Tomita
• Grantee: Vinicius de Oliveira Rodrigues
• Supervisor: Stevo Todorcevic
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Fields Institute for Research in Mathematical Sciences, Canada
• Associated to the scholarship: 17/15502-2 - Mad Families, Forcing and Combinatorial Principles in Topology, BP.DR

Abstract

The region of Toronto, located in ON, Canada, has a large group of researchers and students on set theory and set-theoretic topology. This group has a long tradition of excellency in these subjects and its regular seminar receives visitors from many of other top groups working in these research fields. Professor Stevo Todorcevic, who is linked to the Fields Institute and the University of Toronto, will supervise this project. The Ph.D. student will discuss selected topics on forcing and other set theoretic concepts with seminar members and use these ideas to work on the problems proposed in his Ph.D. project. This project opens paths for future international collaborations.

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

BELLINI, MATHEUS KOVEROFF; BOERO, ANA CAROLINA; RODRIGUES, VINICIUS DE OLIVEIRA; TOMITA, ARTUR HIDEYUKI. Algebraic structure of countably compact non-torsion Abelian groups of size continuum from selective ultrafilters. Topology and its Applications, v. 297, p. 23-pg., 2021-04-29. (19/01388-9, 19/02663-3, 12/01490-9, 16/26216-8, 17/15709-6)

GUZMAN, O.; HRUSAK, M.; RODRIGUES, V. O.; TODORCEVIC, S.; TOMITA, A. H.. Maximal almost disjoint families and pseudocompactness of hyperspaces. Topology and its Applications, v. 305, JAN 1 2022. (19/01388-9, 17/15502-2, 19/19924-4)