RT Journal Article T1 Total paracompactness and Banach spaces. A1 Gallego Lupiáñez, Francisco AB 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. PB American Mathematical Society SN 0002-9939 YR 1988 FD 1988 LK https://hdl.handle.net/20.500.14352/57271 UL https://hdl.handle.net/20.500.14352/57271 LA eng NO The results of this paper are contained in the author's Doctoral Thesis, directed by Professor E. Outerelo, to whom the author expresses his hearty thanks for his help in the preparation of this paper. DS Docta Complutense RD 8 abr 2025