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Nowhere dense $ P$-subsets of $ \omega$


Author: Winfried Just
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
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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 [Enhancements On Off] (What's this?)

  • [J] W. Just, A modification of Shelah's oracle-c.c. with applications, Preprint, University of Toronto, 1988.
  • [vM] J. van Mill, An introduction to $ \beta \omega $, in: Handbook of Set-Theoretical Topology, (K. Kunen & J. E. Vaughan eds.), North Holland, 1984, 503-567. MR 776630 (86f:54027)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0976360-5
Keywords: Čech-Stone compactification, $ \beta \omega $, embeddings of Boolean algebras
Article copyright: © Copyright 1989 American Mathematical Society

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