Homological and descriptive set theory methods in Banach spaces

• Grant number: 18/18593-1
• Support Opportunities: Regular Research Grants
• Duration: December 01, 2018 - February 28, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Wilson Albeiro Cuellar Carrera
• Grantee: Wilson Albeiro Cuellar Carrera
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This project deals with two directions of research within the theory of Banach spaces. In a first line we study homological theory in Banach spaces (also called twisted sum theory) from elements of interpolation theory. In the second part, we use methods of descriptive set theory to address Banach space classification problems. More specifically, we are interested in the study of the unconditional structure and local notions of singularity of twisted sums; and in the study of the complexity of isomorphism between separable Banach spaces. (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)

CASTILLO, JESUS M. F.; CUELLAR, WILSON; FERENCZI, VALENTIN; MORENO, YOLANDA. On Disjointly Singular Centralizers. Israel Journal of Mathematics, v. 252, n. 1, p. 27-pg., 2022-09-09. (16/25574-8, 15/17216-1, 18/18593-1)