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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The nonstationary ideal and the other $\sigma $-ideals on $\omega _{1}$


Author: Jindrich Zapletal
Journal: Trans. Amer. Math. Soc. 352 (2000), 3981-3993
MSC (2000): Primary 03E40, 03E50
DOI: https://doi.org/10.1090/S0002-9947-00-02598-8
Published electronically: February 25, 2000
MathSciNet review: 1707206
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Abstract: Under Martin's Maximum every $\sigma $-ideal on $\omega _{1}$ is a subset of an ideal Rudin-Keisler reducible to a finite Fubini power of the nonstationary ideal restricted to a positive set.


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Additional Information

Jindrich Zapletal
Affiliation: Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755
Email: zapletal@dartmouth.edu

DOI: https://doi.org/10.1090/S0002-9947-00-02598-8
Received by editor(s): March 17, 1998
Published electronically: February 25, 2000
Additional Notes: Author’s research is partially supported by grant GA ČR 201/97/0216.
Article copyright: © Copyright 2000 American Mathematical Society