Infinite combinatorics and hyperspaces in general topology

• Grant number: 17/09252-3
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2017
• End date: July 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Leandro Fiorini Aurichi
• Grantee: Leandro Fiorini Aurichi
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project mainly tries to proceed in some researches lines that the author has been developing in the past few years. One of the central problems is the Michael's problem (if the space of the irrationals is productively Lindelöf) but other problems involving preservation of proprierties in the product are also among the main goals of this project. (AU)

Scientific publications

(7)

(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)

AURICHI, LEANDRO F.; MEZABARBA, RENAN M.. Bornologies and filters applied to selection principles and function spaces. Topology and its Applications, v. 258, p. 187-201, MAY 15 2019. (17/09252-3)

AURICHI, LEANDRO F.; DIAS, RODRIGO R.. A minicourse on topological games. Topology and its Applications, v. 258, p. 305-335, MAY 15 2019. (17/09252-3)

AURICHI, L. F.; BELLA, A.. A definitive improvement of a game-theoretic bound and the long tightness game. ACTA MATHEMATICA HUNGARICA, v. 155, n. 2, p. 458-465, AUG 2018. (17/09252-3)

AURICHI, LEANDRO; ZDOMSKYY, LYUBOMYR. Covering properties of omega-mad families. ARCHIVE FOR MATHEMATICAL LOGIC, v. 59, n. 3-4, p. 8-pg., 2019-11-08. (17/09252-3)

AURICHI, LEANDRO; ZDOMSKYY, LYUBOMYR. Covering properties of omega-mad families. ARCHIVE FOR MATHEMATICAL LOGIC, NOV 2019. (17/09252-3)

AURICHI, LEANDRO F.; DUZI, MATHEUS. Topological games of bounded selections. Topology and its Applications, v. 291, MAR 15 2021. (17/09252-3, 17/09797-0)

AURICHI, LEANDRO F.; JUNQUEIRA, LUCIA R.; MEZABARBA, RENAN M.. A CHARACTERIZATION OF PRODUCTIVE CELLULARITY. Proceedings of the American Mathematical Society, v. 150, n. 5, p. 9-pg., 2022-05-01. (17/09252-3, 19/22344-0)