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…