Study of the borelian complexity of certain properties of Banach spaces
Applications of infinitary combinatorics in Banach Spaces of the forms $C(K)$, $C(...
First Brazilian Workshop in Geometry of Banach Spaces - BWB 2014
Abstract
The thematic project involves one full professor, one associate professor, three assistant professors and one post-doc, four members of the group being associated to the Departamento de Matemático do IME-USP (Instituto de Matemática e Estatística da Universidade de São Paulo), main institution of the project, and two members associated to Instituto de Ciência e Tecnologia (ICT) UNIFESP. The lines of research of the group are concentrated on geometry of Banach Spaces, in its interactions with combinatorics/Ramsey Theory, set theory, homological theory, non linear theory, operator theory, and topological group theory. Four main lines of research may be spelled out: 1) structures and combinatorial principles; 2) homological theory in Banach Spaces; 3) non-linear theory; and 4) classical spaces and exotic spaces. In these lines one can define 8 secundary themes of research, related to a list of classical problems in geometry of Banach Spaces, about spaces of various densities (separable or non separable), various relations of isomorphism between Banach Spaces (linear and non-linear), and study of classical spaces as well as of more recent examples in the theory. Visits of researchers will be organized, with the objective of a better integration of the group with national or international colleagues. (AU)
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