%0 Journal Article %A Gallego Lupiáñez, Francisco %T Total paracompactness and Banach spaces. %D 1988 %@ 0002-9939 %U https://hdl.handle.net/20.500.14352/57271 %X In this paper, we study some problems related to the Corsontheorem. In particular we prove that co does not fulfil such a theorem; hence this theorem is not valid for all infinite-dimensional Banach spaces. We give also generalizations of Corson's theorem for some infinite-dimensional normed spaces. %~