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A compact Hausdorff space without $ P$-points in which $ G\sb \delta$-sets have interior


Author: Stephen Watson
Journal: Proc. Amer. Math. Soc. 123 (1995), 2575-2577
MSC: Primary 54D99; Secondary 54G99, 54H05
DOI: https://doi.org/10.1090/S0002-9939-1995-1301533-4
MathSciNet review: 1301533
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Abstract: We construct a compact Hausdorff space which has no P-points and yet in which every nonempty $ {G_\delta }$ set has nonempty interior.


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

  • [1] Ronnie Levy, Almost P-spaces, Canad. J. Math. 29 (1977), 284-288. MR 0464203 (57:4138)
  • [2] E. Wimmers, The Shelah P-point independence theorem, Israel J. Math. 43 (1982), 28-48. MR 728877 (85e:03118)
  • [3] Stephen Watson, The construction of topological spaces: Planks and resolutions, Recent Progress in General Topology (M. Hušek and J. van Mill, eds.), North-Holland, Amsterdam, 1992, pp. 673-757. MR 1229141
  • [4] Scott W. Williams and Hao-Xuan Zhou, The order-like structure of compact monotonically normal spaces, preprint.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1301533-4
Article copyright: © Copyright 1995 American Mathematical Society

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