More on M. E. Rudin’s Dowker space
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- by Klaas Pieter Hart
- Proc. Amer. Math. Soc. 86 (1982), 508-510
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671226-6
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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
- K. P. Hart, Strong collectionwise normality and M. E. Rudin’s Dowker space, Proc. Amer. Math. Soc. 83 (1981), no. 4, 802–806. MR 630058, DOI 10.1090/S0002-9939-1981-0630058-4
- M. J. Mansfield, Some generalizations of full normality, Trans. Amer. Math. Soc. 86 (1957), 489–505. MR 93753, DOI 10.1090/S0002-9947-1957-0093753-5
- Mary Ellen Rudin, A normal space $X$ for which $X\times I$ is not normal, Fund. Math. 73 (1971/72), no. 2, 179–186. MR 293583, DOI 10.4064/fm-73-2-179-186
- Brian M. Scott, Toward a product theory for orthocompactness, Studies in topology (Proc. Conf., Univ. North Carolina, Charlotte, N.C., 1974; dedicated to Math. Sect. Polish Acad. Sci.), Academic Press, New York, 1975, pp. 517–537. MR 0372820
Bibliographic Information
- © Copyright 1982 American Mathematical Society
- 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