Geometry of Banach spaces

• Grant number: 15/26654-2
• Support Opportunities: Scholarships abroad - Research
• Start date: March 19, 2016
• End date: January 18, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Christina Brech
• Grantee: Christina Brech
• Host Investigator: Jorge Lopez-Abad
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Instituto de Ciencias Matemáticas (ICMAT), Spain

Abstract

Our main purpose is to study the geometry of Banach spaces from the combinatorial point of view. We are interested in new constructions using the forcing method, Ramsey theory and families of finite sets. We will continue our research on structures like biorthogonal sequences and unconditional basic sequences.

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)

BRECH, C.; LOPEZ-ABAD, J.; TODORCEVIC, S.. Homogeneous families on trees and subsymmetric basic sequences. ADVANCES IN MATHEMATICS, v. 334, p. 322-388, AUG 20 2018. (15/26654-2, 12/24463-7, 13/24827-1)