Topological spaces and Set Theory

• Grant number: 21/00177-4
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2021
• End date: September 30, 2023
• 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
• City of the host institution: São Paulo

Abstract

We will proceed with our research in countably compact, pseudocompact and strongly pseudocompact topological groups, selctions and hyperspaces and other topological properties. We will create new techniques to solve problems and apply these techniques to other problems. (AU)

Scientific publications

(5)

(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.)

TOMITA, ARTUR HIDEYUKI; TRIANON-FRAGA, JULIANE. On powers of countably pracompact groups. Topology and its Applications, v. 327, p. 31-pg., 2023-02-02. (21/00177-4, 19/12628-0)

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)

TOMITA, ARTUR HIDEYUKI; TRIANON-FRAGA, JULIANE. Some pseudocompact-like properties in certain topological groups. Topology and its Applications, v. 314, p. 18-pg., 2022-05-04. (19/12628-0, 21/00177-4)

ORTIZ-CASTILLO, Y. F.; TOMITA, A. H.. Reprint of: HFD spaces in two problems of countably compact like properties. Topology and its Applications, v. 371, p. 14-pg., 2025-10-01. (21/00177-4, 14/16955-2)

ORTIZ-CASTILLO, Y. F.; TOMITA, A. H.. HFD spaces in two problems of countably compact like properties. Topology and its Applications, v. 367, p. 14-pg., 2025-06-01. (21/00177-4, 14/16955-2)