𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness

✍ Scribed by Arthur W. Apter

Publisher
Springer
Year
2007
Tongue
English
Weight
182 KB
Volume
46
Category
Article
ISSN
0933-5846

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Failures of GCH and the level by level e
Failures of GCH and the level by level equivalence between strong compactness and supercompactness
✍ Arthur W. Apter πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 175 KB

## Abstract We force and obtain three models in which level by level equivalence between strong compactness and supercompactness holds and in which, below the least supercompact cardinal, GCH fails unboundedly often. In two of these models, GCH fails on a set having measure 1 with respect to certai

Level by level equivalence and strong co
Level by level equivalence and strong compactness
✍ Arthur W. Apter πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 219 KB

## Abstract We 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 compac

Supercompactness and measurable limits o
Supercompactness and measurable limits of strong cardinals II: Applications to level by level equivalence
✍ Arthur W. Apter πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 125 KB

## Abstract We construct models for the level by level equivalence between strong compactness and supercompactness in which for __ΞΊ__ the least supercompact cardinal and __Ξ΄__ ≀ __ΞΊ__ any cardinal which is either a strong cardinal or a measurable limit of strong cardinals, 2^__Ξ΄__^ > __Ξ΄__ ^+^ and