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Total paracompactness and Banach spaces. Gallego Lupiáñez, Francisco 5151.1 Open basis Locally finite covering Banach spaces Bounded convex sets Normed spaces Total paracompactness. Topología 1210 Topología 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. In this paper, we study some problems related to the Corson theorem. 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:52:00Z 2023-06-20T16:52:00Z 1988 journal article https://hdl.handle.net/20.500.14352/57271 0002-9939 10.2307/2047553 eng restricted access application/pdf American Mathematical Society