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)
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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 purpose

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References found in this work

The Universality Spectrum of Stable Unsuperstable Theories.Menachem Kojman & Saharon Shelah - 1992 - Annals of Pure and Applied Logic 58 (1):57-72.
Sequences.Nelson Goodman - 1941 - Journal of Symbolic Logic 6 (4):150-153.
Woodin Cardinals and Presaturated Ideals.Noa Goldring - 1992 - Annals of Pure and Applied Logic 55 (3):285-303.

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