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A Tail Club Guessing Ideal Can Be Saturated without Being a Restriction of the Nonstationary Ideal
Notre Dame Journal of Formal Logic 46 (3):327-333 (2005)
Abstract
We outline the proof of the consistency that there exists a saturated tail club guessing ideal on ω₁ which is not a restriction of the nonstationary ideal. A new class of forcing notions and the forcing axiom for the class are introduced for this purposeLinks
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Citations of this work
A Tail Club Guessing Ideal Can Be Saturated without Being a Restriction of the Nonstationary Ideal.Tetsuya Ishiu - 2005 - Notre Dame Journal of Formal Logic 46 (3):327-333.
References found in this work
On splitting stationary subsets of large cardinals.James E. Baumgartner, Alan D. Taylor & Stanley Wagon - 1977 - Journal of Symbolic Logic 42 (2):203-214.
The universality spectrum of stable unsuperstable theories.Menachem Kojman & Saharon Shelah - 1992 - Annals of Pure and Applied Logic 58 (1):57-72.
The Club Guessing Ideal: Commentary on a Theorem of Gitik and Shelah.Matthew Foreman & Peter Komjath - 2005 - Journal of Mathematical Logic 5 (1):99-147.
Woodin cardinals and presaturated ideals.Noa Goldring - 1992 - Annals of Pure and Applied Logic 55 (3):285-303.
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