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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A compact Hausdorff space without $P$-points in which $G_ \delta$-sets have interior
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by Stephen Watson PDF
Proc. Amer. Math. Soc. 123 (1995), 2575-2577 Request permission

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
  • Ronnie Levy, Almost-$P$-spaces, Canadian J. Math. 29 (1977), no. 2, 284–288. MR 464203, DOI 10.4153/CJM-1977-030-7
  • Edward L. Wimmers, The Shelah $P$-point independence theorem, Israel J. Math. 43 (1982), no. 1, 28–48. MR 728877, DOI 10.1007/BF02761683
  • Stephen Watson, The construction of topological spaces: planks and resolutions, Recent progress in general topology (Prague, 1991) North-Holland, Amsterdam, 1992, pp. 673–757. MR 1229141
  • Scott W. Williams and Hao-Xuan Zhou, The order-like structure of compact monotonically normal spaces, preprint.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • 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