The nonstationary ideal and the other 𝜎-ideals on 𝜔₁

Zapletal, Jindřich

doi:10.1090/S0002-9947-00-02598-8

The nonstationary ideal and the other $\sigma$-ideals on $\omega _{1}$
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Trans. Amer. Math. Soc. 352 (2000), 3981-3993 Request permission

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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