论文信息 - The nonstationary ideal and the other -ideals on ₁

The nonstationary ideal and the other -ideals on ₁

Under Martin’s Maximum every σ-ideal on ω1 is a subset of an ideal Rudin-Keisler reducible to a finite Fubini power of the nonstationary ideal restricted to a positive set.

Jindřich Zapletal

[1] S. Shelah,et al. Martin's Maximum, saturated ideals and non-regular ultrafilters. Part II , 1988 .

[2] M. Davidson. Catch 22 , 1977, Nature.

[3] S. Shelah. Proper Forcing , 2001 .

[4] W. Hugh Woodin,et al. The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal , 1999 .

[5] Barry K. Miller. Necessarily Terminating Causal Series and the Contingency Argument , 1982 .

[6] Kanji Namba,et al. Independence proof of (ω,ω_α)-distributive law in complete Boolean algebras , 1971 .

[7] B. Velickovic. Forcing axioms and stationary sets , 1992 .

[8] O. H. Lowry. Academic press. , 1972, Analytical chemistry.

[9] James E. Baumgartner,et al. SATURATION PROPERTIES OF IDEALS IN GENERIC EXTENSIONS. II , 2010 .

[10] James F. McClendon,et al. Obstruction theory in fiber spaces , 1971 .

[11] Saharon Shelah,et al. Correction to “Martin’s Maximum, saturated ideals, and non-regular ultrafilters. Part I” , 1989 .