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# On Banach spaces $C_0 (K, X)$ and the topology of $K$.

 Grant number: 12/15957-6 Support type: Scholarships in Brazil - Post-Doctorate Effective date (Start): December 01, 2012 Effective date (End): November 30, 2015 Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis Principal Investigator: Eloi Medina Galego Grantee: Leandro Candido Batista Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil Associated scholarship(s): 13/20703-6 - Applications of infinitary combinatorics in Banach Spaces of the forms $C(K)$, $C(K\times L)$, $C(K,X)$ and related structures, BE.EP.PD Abstract This is a research project involving two areas of Mathematics, Analysis and Topology, whose the main objective is studying the Banach spaces $C_0(K, X)$. The research methods involves the study of the Geometry of Banach spaces, Measure Theory, Topology and Set Theory. In this project will be discussed some aspects of the isomorphic theory of the spaces $C_0 (K, X)$, seeking continuity and extent of research conducted by the cadidate during his Ph.D. program.

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)
CANDIDO, LEANDRO. On embeddings of C-0(K) spaces into C-0(L, X) spaces. STUDIA MATHEMATICA, v. 232, n. 1, p. 1-6, 2016. Web of Science Citations: 1.
CANDIDO, LEANDRO; GALEGO, ELOI MEDINA. How does the distortion of linear embedding of C-0(K) into C-0(Gamma, X) spaces depend on the height of K?. Journal of Mathematical Analysis and Applications, v. 402, n. 1, p. 185-190, JUN 1 2013. Web of Science Citations: 1.
CANDIDO, LEANDRO; GALEGO, ELOI MEDINA. How far is C(omega) from the other C(K) spaces?. STUDIA MATHEMATICA, v. 217, n. 2, p. 123-138, 2013. Web of Science Citations: 1.