Topology and sets

• Grant number: 16/26216-8
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2017
• End date: April 30, 2019
• 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 topological properties, in particular related to countable compactness, in groups and hyperspaces, seeking for new technique to solve problems. Apply the ideas to other problems in the area. Maintain the quality of the results obtained using as a parameter the publication in prestigious journals of 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)

RODRIGUES, VINICIUS DE OLIVEIRA; TOMITA, ARTUR HIDEYUKI. Small MAD families whose Isbell-Mrowka space has pseudocompact hyperspace. FUNDAMENTA MATHEMATICAE, v. 247, n. 1, p. 99-108, 2019. (16/26216-8, 17/15502-2)

ORTIZ-CASTILLO, Y. F.; RODRIGUES, V. O.; TOMITA, A. H.. Small cardinals and the pseudocompactness of hyperspaces of subspaces of beta omega. Topology and its Applications, v. 246, p. 9-21, SEP 1 2018. (16/26216-8, 14/16955-2, 17/15502-2)

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)

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)

BELLINI, MATHEUS KOVEROFF; RODRIGUES, VINICIUS DE OLIVEIRA; TOMITA, ARTUR HIDEYUKI. On countably compact group topologies without non-trivial convergent sequences on Q((kappa)) for arbitrarily large kappa and a selective ultrafilter. Topology and its Applications, v. 294, MAY 1 2021. (16/26216-8, 17/15502-2, 17/15709-6)

BELLINI, MATHEUS K.; HART, KLAAS PIETER; RODRIGUES, VINICIUS O.; TOMITA, ARTUR H.. Countably compact group topologies on arbitrarily large free Abelian groups. Topology and its Applications, v. 333, p. 23-pg., 2023-04-28. (17/15502-2, 21/00177-4, 16/26216-8, 17/15709-6)

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)

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)

ORTIZ-CASTILLO, YASSER F.; TOMITA, ARTUR HIDEYUKI; YAMAUCHI, TAKAMITSU. HIGSON COMPACTIFICATIONS OF WALLMAN TYPE. TSUKUBA JOURNAL OF MATHEMATICS, v. 42, n. 2, p. 233-250, DEC 2018. (14/16955-2, 16/23134-0, 17/04355-9, 16/26216-8)