TY - JOUR AU - Gallego Lupiáñez, Francisco PY - 1988 DO - 10.2307/2047553 SN - 0002-9939 UR - https://hdl.handle.net/20.500.14352/57271 T2 - Proceedings of the American Mathematical Society 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... LA - eng M2 - 210 PB - American Mathematical Society KW - Open basis KW - Locally finite covering KW - Banach spaces KW - Bounded convex sets KW - Normed spaces KW - Total paracompactness. TI - Total paracompactness and Banach spaces. TY - journal article VL - 103 ER -