Global Co-stationarity of the Ground Model from a New Countable Length Sequence

نویسنده

  • NATASHA DOBRINEN
چکیده

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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تاریخ انتشار 2008