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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nowhere dense $P$-subsets of $\omega$
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by Winfried Just
Proc. Amer. Math. Soc. 106 (1989), 1145-1146
DOI: https://doi.org/10.1090/S0002-9939-1989-0976360-5
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Abstract:

It is relatively consistent with ZFC that no nowhere dense $P$-subset of $\omega *$ is homeomorphic to the space ${\omega ^ * }$ itself.
References
    W. Just, A modification of Shelah’s oracle-c.c. with applications, Preprint, University of Toronto, 1988.
  • Jan van Mill, An introduction to $\beta \omega$, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp.Β 503–567. MR 776630
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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 1145-1146
  • MSC: Primary 54D40; Secondary 03E35
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0976360-5
  • MathSciNet review: 976360