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

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

(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)

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)

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)