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Aspects of strong compactness, measurability, and indestructibility

✍ Scribed by Arthur W. Apter

Publisher
Springer
Year
2002
Tongue
English
Weight
138 KB
Volume
41
Category
Article
ISSN
0933-5846

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πŸ“œ SIMILAR VOLUMES

Universal partial indestructibility and
Universal partial indestructibility and strong compactness
✍ Arthur W. Apter πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 153 KB

## Abstract For any ordinal __Ξ΄__, let __Ξ»~Ξ΄~__ be the least inaccessible cardinal above __Ξ΄__. We force and construct a model in which the least supercompact cardinal __ΞΊ__ is indestructible under __ΞΊ__‐directed closed forcing and in which every measurable cardinal __Ξ΄__ < __ΞΊ__ is < __Ξ»~Ξ΄~__ stro

Indestructibility, measurability, and de
Indestructibility, measurability, and degrees of supercompactness
✍ Arthur W. Apter πŸ“‚ Article πŸ“… 2012 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

## Abstract Suppose that κ is indestructibly supercompact and there is a measurable cardinal λ > κ. It then follows that __A__~1~ = {δ < κ∣δ is measurable, δ is not a limit of measurable cardinals, and δ is not δ^+^ supercompact} is unbounded in κ. If in addition λ is 2^λ^ supercompact, then __A__~