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Complementation and Embeddings of c0(I) in Banach Spaces

We investigate in this paper the complementation of copies of c0(I) in some classes of Banach spaces (in the class of weakly compactly generated (WCG) Banach spaces, in the larger class V of Banach spaces which are subspaces of some C(K) space with K a Valdivia compact, and in the Banach spaces C([1, α]), where α is an ordinal) and the embedding of c0(I) in the elements of the class C of complemented subspaces of C(K) spaces. Two of our results are as follows: