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

Author(s): Jindrich Zapletal
Journal: Trans. Amer. Math. Soc. 352 (2000), 3981-3993.
MSC (2000): Primary 03E40, 03E50
Posted: February 25, 2000
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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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W. H. Woodin, The axiom of determinacy, forcing axioms and the nonstationary ideal (to appear).

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Additional Information:

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

DOI: 10.1090/S0002-9947-00-02598-8
PII: S 0002-9947(00)02598-8
Received by editor(s): March 17, 1998
Posted: February 25, 2000
Additional Notes: Author's research is partially supported by grant GA CR 201/97/0216.
Copyright of article: Copyright 2000, American Mathematical Society

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