Topological games, selection principles and covering properties

• Grant number: 13/05469-7
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2013
• End date: May 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• 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 aims the study of properties given by games or by selection principles. When one formulates a property in this way, usually one gets a translation from a property with a difficult formulation in a combinatorical view into a simpler formulation. Beside that, with this kind of translation, usually one gets new properties, close to classical ones, but with different levels of strength. Is also an objective of this project the study of covering properties, if they are related or not to selection principles. Covering properties are among the central ones in General Topology. (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.; BELLA, ANGELO. On a game theoretic cardinality bound. Topology and its Applications, v. 192, n. SI, p. 2-8, SEP 1 2015. (13/05469-7)

AURICHI, LEANDRO F.; BELLA, ANGELO; DIAS, RODRIGO R.. TIGHTNESS GAMES WITH BOUNDED FINITE SELECTIONS. Israel Journal of Mathematics, v. 224, n. 1, p. 133-158, APR 2018. (13/05469-7, 12/09214-0)

AURICHI, LEANDRO F.; BELLA, ANGELO. When is a space Menger at infinity?. APPLIED GENERAL TOPOLOGY, v. 16, n. 1, p. 75-80, 2015. (13/05469-7)

AURICHI, LEANDRO F.; BELLA, ANGELO. On a game theoretic cardinality bound. Topology and its Applications, v. 192, p. 7-pg., 2015-09-01. (13/05469-7)

AURICHI, L. F.; SPADARO, S.; ZDOMSKYY, L.. Selective versions of chain condition-type properties. ACTA MATHEMATICA HUNGARICA, v. 148, n. 1, p. 1-16, FEB 2016. (13/14640-1, 13/05469-7)

AURICHI, LEANDRO F.; ZDOMSKYY, LYUBOMYR. INTERNAL CHARACTERIZATIONS OF PRODUCTIVELY LINDELOF SPACES. Proceedings of the American Mathematical Society, v. 146, n. 8, p. 3615-3626, AUG 2018. (13/05469-7)

AURICHI, LEANDRO F.; MEZABARBA, RENAN M.. PRODUCTIVELY COUNTABLY TIGHT SPACES OF THE FORM C-k(X). HOUSTON JOURNAL OF MATHEMATICS, v. 42, n. 3, p. 1019-1029, 2016. (13/05469-7)