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More on M. E. Rudin's Dowker space


Author: Klaas Pieter Hart
Journal: Proc. Amer. Math. Soc. 86 (1982), 508-510
MSC: Primary 54D20; Secondary 54G20
DOI: https://doi.org/10.1090/S0002-9939-1982-0671226-6
MathSciNet review: 671226
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Abstract: It is shown that M. E. Rudin's Dowker space is finitely-fully normal and orthocompact, thus answering questions of Mansfield and Scott.


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

  • [Ha] K. P. Hart, Strong collectionwise normality and M. E. Rudin's Dowker space, Proc. Amer. Math. Soc. 83 (1981), 802-806. MR 630058 (83a:54021)
  • [Ma] M. J. Mansfield, Some generalizations of full normality, Trans. Amer. Math. Soc. 86 (1957), 489-505. MR 0093753 (20:273)
  • [Ru] M. E. Rudin, A normal space $ X$ for which $ X \times I$ is not normal, Fund. Math. 73 (1971), 179-186. MR 0293583 (45:2660)
  • [Sc] B. M. Scott, Toward a product theory for orthocompactness, Studies in Topology, Academic Press, New York, 1975, pp. 517-537. MR 0372820 (51:9024)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0671226-6
Keywords: $ \kappa $-fully normal, finitely-fully normal, orthocompact
Article copyright: © Copyright 1982 American Mathematical Society

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