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arxiv: math/0109027 · v1 · submitted 2001-09-04 · 🧮 math.LO

An interpolation theorem

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keywords alephimpliescardinalsinterpolationlargeprovestheoremcardinal
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Whenever x is a tame cardinal invariant and ZFC+large cardinals proves that x=aleph one implies WCG then ZFC+large cardinals proves that x=aleph one implies b=aleph one, and b=aleph one implies WCG. Here WCG is a certain prediction principle on omega one. This theorem is one of the many possible interpolation theorems of this kind.

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