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 purpose
Keywords club guessing   saturated   forcing axiom
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DOI 10.1305/ndjfl/1125409331
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