Countably compact group topologies on abelian groups

• Grant number: 10/19272-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2011
• End date: January 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Artur Hideyuki Tomita
• Grantee: Ana Carolina Boero
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Este projeto tem por objetivo dar continuidade à pesquisa realizada durante o doutorado da candidata. Estamos interessados em aplicar técnicas da teoria dos conjuntos na construção de topologias enumeravelmente compactas em grupos abelianos. Pretendemos trabalhar tanto em problemas clássicos (e.g., o problema de Scarborough-Stone para grupos topológicos) quanto em questões que foram parcialmente resolvidas durante o doutorado da candidata.

Scientific publications

(4)

(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; CASTRO-PEREIRA, IRENE; RODRIGUES, VINICIUS DE OLIVEIRA; TOMITA, ARTUR HIDEYUKI. Countably compact group topologies on non-torsion Abelian groups of size continuum with non-trivial convergent sequences. Topology and its Applications, v. 267, NOV 1 2019. (10/19272-2, 12/01490-9, 17/15709-6, 16/26216-8, 17/15502-2)

BOERO, ANA CAROLINA; PEREIRA, IRENE CASTRO; TOMITA, ARTUR HIDEYUKI. A group topology on the real line that makes its square countably compact but not its cube. Topology and its Applications, v. 192, p. 28-pg., 2015-09-01. (10/19272-2, 12/01490-9)

BOERO, ANA CAROLINA; PEREIRA, IRENE CASTRO; TOMITA, ARTUR HIDEYUKI. A group topology on the real line that makes its square countably compact but not its cube. Topology and its Applications, v. 192, n. SI, p. 30-57, SEP 1 2015. (10/19272-2, 12/01490-9)

BOERO, A. C.; PEREIRA, I. C.; TOMITA, A. H.. Countably compact group topologies on the free Abelian group of size continuum (and a Wallace semigroup) from a selective ultrafilter. ACTA MATHEMATICA HUNGARICA, v. 159, n. 2, p. 414-428, DEC 2019. (16/26216-8, 10/19272-2, 12/01490-9)