Construction of topologies: countably compact topological groups, hyperspaces and selections and others

• Grant number: 12/01490-9
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2012
• End date: April 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Artur Hideyuki Tomita
• Grantee: Artur Hideyuki Tomita
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Continue the research on the construction of topological spaces, in particular, involving countably compact groups and hyperspaces and expand the use of the acquired knowledge in problems related to other topological properties. Increase the collaboration with specialists, including new subjects with in the area. (AU)

Scientific publications

(9)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GARCIA-FERREIRA, S.; TOMITA, A. H.. A pseudocompact group which is not strongly pseudocompact. Topology and its Applications, v. 192, n. SI, p. 138-144, SEP 1 2015. (13/06961-2, 12/01490-9)

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)

GARCIA-FERREIRA, S.; TOMITA, A. H.. A pseudocompact group which is not strongly pseudocompact. Topology and its Applications, v. 192, p. 7-pg., 2015-09-01. (12/01490-9, 13/06961-2)

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)

TOMITA, ARTUR HIDEYUKI. A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences. Topology and its Applications, v. 259, p. 347-364, JUN 1 2019. (16/26216-8, 12/01490-9)

CAO, JILING; TOMITA, ARTUR H.. Bornologies, topological games and function spaces. Topology and its Applications, v. 184, p. 16-28, APR 1 2015. (12/25401-5, 12/01490-9)

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)