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Proceedings of the American Mathematical Society

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Covering spaces of paracompact spaces


Author: David T. Brown
Journal: Proc. Amer. Math. Soc. 47 (1975), 239-242
MSC: Primary 54D99
DOI: https://doi.org/10.1090/S0002-9939-1975-0362233-8
MathSciNet review: 0362233
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Abstract: This note proves that in the context of paracompact spaces, a definition used by the author implies the definition used by Saul Lubkin which does not involve the usual connectedness properties associated with covering spaces.


References [Enhancements On Off] (What's this?)

  • [1] D. T. Brown, Galois theory for Banach algebras, Pacific J. Math. 30 (1969), 577-600. MR 40 #7809. MR 0254601 (40:7809)
  • [2] J. L. Kelley, General topology, Van Nostrand, Princeton, N. J., 1955. MR 16, 1136. MR 0070144 (16:1136c)
  • [3] S. Lubkin, Theory of covering spaces, Trans. Amer. Math. Soc. 104 (1962), 205-238. MR 25 #2581. MR 0139143 (25:2581)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0362233-8
Keywords: Covering space, paracompact space
Article copyright: © Copyright 1975 American Mathematical Society

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