Strong compactness and other cardinal sins
β Scribed by Jussi Ketonen
- Publisher
- Elsevier Science
- Year
- 1972
- Weight
- 977 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0003-4843
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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__βdirected closed forcing and in which every measurable cardinal __Ξ΄__ < __ΞΊ__ is < __Ξ»~Ξ΄~__ stro
## Abstract We construct a model in which the strongly compact cardinals can be nonβtrivially characterized via the statement β__ΞΊ__ is strongly compact iff __ΞΊ__ is a measurable limit of strong cardinalsβ. If our ground model contains large enough cardinals, there will be supercompact cardinals in