On weakly stationary sets
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- by Qi Feng PDF
- Proc. Amer. Math. Soc. 105 (1989), 727-735 Request permission
Abstract:
We consider whether every weakly stationary set is stationary. We show that if ${0^\# }$ does not exist then every weakly stationary set is stationary. Also there is a weakly stationary nonstationary set on $[\omega _2]^{\aleph _1}$ if and only if Chang’s conjecture holds. From a $\omega _1$-Erdös cardinal, we get a model in which $2^{{\aleph _0}} > \omega _2$ and all the subsets of $2^{\aleph _0}$ of order type $\omega _1$ form a weakly stationary set which is nonstationary.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 727-735
- MSC: Primary 03E05; Secondary 03E35, 03E55
- DOI: https://doi.org/10.1090/S0002-9939-1989-0946635-4
- MathSciNet review: 946635