Precisely controlling level by level behavior

We construct four models containing one supercompact cardinal in which level by level equivalence between strong compactness and supercompactness and level by level inequivalence between strong compactness and supercompactness are precisely controlled at each non‐supercompact measurable cardinal. In...

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Veröffentlicht in:	Mathematical logic quarterly 2017-04, Vol.63 (1-2), p.77-84
1. Verfasser:	Apter, Arthur W.
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Sprache:	eng
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creator	Apter, Arthur W.
description	We construct four models containing one supercompact cardinal in which level by level equivalence between strong compactness and supercompactness and level by level inequivalence between strong compactness and supercompactness are precisely controlled at each non‐supercompact measurable cardinal. In these models, no cardinal κ is
doi_str_mv	10.1002/malq.201500018
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title	Precisely controlling level by level behavior
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