Proceedings of the American Mathematical Society

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

 

 

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


Author: Winfried Just
Journal: Proc. Amer. Math. Soc. 106 (1989), 1145-1146
MSC: Primary 54D40; Secondary 03E35
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] Jan van Mill, An introduction to 𝛽𝜔, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 503–567. MR 776630

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Additional Information

DOI: http://dx.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