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Proceedings of the American Mathematical Society

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

 

 

On Sierpiński sets


Authors: Tomek Bartoszyński and Haim Judah
Journal: Proc. Amer. Math. Soc. 108 (1990), 507-512
MSC: Primary 03E35; Secondary 03E05, 03E15
DOI: https://doi.org/10.1090/S0002-9939-1990-0991689-0
MathSciNet review: 991689
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Abstract: We prove that it is consistent with ZFC that every Sierpinski set is strongly meager. It is also proved that under CH every Sierpinski set is a union of two strongly meager sets.


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

  • [J] Thomas Jech, Set theory, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. Pure and Applied Mathematics. MR 506523
  • [M] Arnold W. Miller, Special subsets of the real line, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 201–233. MR 776624

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-0991689-0
Article copyright: © Copyright 1990 American Mathematical Society