DOMINATION, DECOMPOSITIONS AND TOPOLOGICAL GAMES IN Cp-THEORY

• Grant number: 13/09337-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: January 01, 2014
• End date: December 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Artur Hideyuki Tomita
• Grantee: David Guerrero Sanchez
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Continue the research done by the candidate during his Ph.D studies. The main interest is to apply methods of general topology, topological algebra and topological games to characterize functions spaces strongly dominated by second countable spaces as well as describe scattered Eberlein Grothendieck spaces. In both lines of research the candidate has obtained several partial results, in particular he solved an open problem posed by Cascales, Orihuela and Tkachuk.