Covering properties, refinements and topological games

• Grant number: 10/16939-6
• Support Opportunities: Regular Research Grants
• Start date: December 01, 2010
• End date: November 30, 2012
• 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 has three main objectives. The first one is to study some relationships among some covering properties in General Topology. This kind of property is one of the central properties in Topology and is the focus of study of many researchers of this field nowadays. The second objective is developing new techniques to obtain finer topologies. This kind of construction is very useful to obtain certain kind of examples. Finally, the third objective is the study of the Game Theory, with the purpouse of solving problems from the two previous objectives. (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)

AURICHI, LEANDRO F.; DIAS, RODRIGO R.. Topological Games and Alster Spaces. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, v. 57, n. 4, p. 683-696, DEC 2014. (10/16939-6, 12/09214-0)

AURICHI, LEANDRO F.; DIAS, RODRIGO R.; JUNQUEIRA, LUCIA R.. On d- and D-separability. Topology and its Applications, v. 159, n. 16, p. 3445-3452, OCT 1 2012. (10/16939-6)