ON COMPACT CARDINALS by J. L. BELL in London (Great Britain) Let x be a cardinal and L a language. x is said to be L-compact if whenever ,Z is a set of sentences of L such that any subset of L' of power < x has a model, so does Z. If 9 is a class of languages, we say that x is 9-compact if x is L-co
✦ LIBER ✦
On square-compact cardinals
✍ Scribed by A. Hajnal; I. Juhász
- Book ID
- 105437474
- Publisher
- Springer Netherlands
- Year
- 1973
- Tongue
- English
- Weight
- 161 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0031-5303
No coin nor oath required. For personal study only.
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## Abstract We show that it is consistent, relative to a supercompact limit of supercompact cardinals, for the least strongly compact cardinal k to be both the least measurable cardinal and to be > 2^k^ supercompact.