On Sierpiński sets
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- by Tomek Bartoszyński and Haim Judah PDF
- Proc. Amer. Math. Soc. 108 (1990), 507-512 Request permission
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
- Thomas Jech, Set theory, Pure and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 506523
- Arnold W. Miller, Special subsets of the real line, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 201–233. MR 776624
Additional Information
- © Copyright 1990 American Mathematical Society
- 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