Some Structural Results Concerning Supercompact Cardinals

Journal of Symbolic Logic 66 (4):1919-1927 (2001)
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Abstract

We show how the forcing of [5] can be iterated so as to get a model containing supercompact cardinals in which every measurable cardinal $\delta$ is $\delta^+$ supercompact. We then apply this iteration to prove three additional theorems concerning the structure of the class of supercompact cardinals.

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