Level by level equivalence and strong compactness
Copyright policy )Level by level equivalence and strong compactness
AbstractWe force and construct models in which there are non‐supercompact strongly compact cardinals which aren't measurable limits of strongly compact cardinals and in which level by level equivalence between strong compactness and supercompactness holds non‐trivially except at strongly compact cardinals. In these models, every measurable cardinal κ which isn't either strongly compact or a witness to a certain phenomenon first discovered by Menas is such that for every regular cardinal λ > κ, κ is λ strongly compact iff κ is λ supercompact. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- Baruch College United States
- City University of New York United States
level by level equivalence between strong compactness and supercompactness, Large cardinals, strongly compact cardinal, non-reflecting stationary set of ordinals, Consistency and independence results, strong cardinal, Supercompact cardinal
level by level equivalence between strong compactness and supercompactness, Large cardinals, strongly compact cardinal, non-reflecting stationary set of ordinals, Consistency and independence results, strong cardinal, Supercompact cardinal
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