On weakly stationary sets

Author:
Qi Feng

Journal:
Proc. Amer. Math. Soc. **105** (1989), 727-735

MSC:
Primary 03E05; Secondary 03E35, 03E55

MathSciNet review:
946635

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Abstract: We consider whether every weakly stationary set is stationary. We show that if does not exist then every weakly stationary set is stationary. Also there is a weakly stationary nonstationary set on if and only if Chang's conjecture holds. From a -Erdös cardinal, we get a model in which and all the subsets of of order type form a weakly stationary set which is nonstationary.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1989-0946635-4

Keywords:
Weakly stationary,
stationary

Article copyright:
© Copyright 1989
American Mathematical Society