Gallego Lupiáñez, Francisco2023-06-202023-06-2019880002-993910.2307/2047553https://hdl.handle.net/20.500.14352/57271The 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.engjournal articlehttps://www.ams.org/journals/proc/1988-103-01/S0002-9939-1988-0938670-6/S0002-9939-1988-0938670-6.pdfhttp://www.ams.org/restricted access5151.1Open basisLocally finite coveringBanach spacesBounded convex setsNormed spacesTotal paracompactness.Topología1210 Topología