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10

MLQ
2016

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A note on tall cardinals and level by level equivalence

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A note on tall cardinals and level by level equivalence

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Starting from a model V “ZFC + GCH + κ is supercompact + No cardinal is supercompact up to a measurable cardinal”, we force and construct a model V P such that V P “ZFC + κ is supercompact + No cardinal is supercompact up to a measurable cardinal + δ is measurable iﬀ δ is tall” in which level by level equivalence between strong compactness and supercompactness holds. This extends and generalizes both [4, Theorem 1] and the results of [5].

Arthur W. Apter

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Added	08 Apr 2016
Updated	08 Apr 2016
Type	Journal
Year	2016
Where	MLQ
Authors	Arthur W. Apter

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