Global co-stationarity of the ground model from a new countable length sequence
نویسندگان
چکیده
منابع مشابه
Global Co-stationarity of the Ground Model from a New Countable Length Sequence
Suppose V ⊆ W are models of ZFC with the same ordinals, and that for all regular cardinals κ in W , V satisfies κ. If W \ V contains a sequence r : ω → γ for some ordinal γ, then for all cardinals κ < λ in W with κ regular in W and λ ≥ γ, (Pκ(λ)) \ V is stationary in (Pκ(λ)) . That is, a new ω-sequence achieves global co-stationarity of the ground model.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2008
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-08-09094-1