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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.


📜 SIMILAR VOLUMES


On Compact Cardinals
✍ J. L. Bell 📂 Article 📅 1974 🏛 John Wiley and Sons 🌐 English ⚖ 332 KB

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

A Remark on Weakly Compact Cardinals
✍ Tapani Hyttinen 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 134 KB 👁 1 views

We show that if κ is weakly compact, then κ → (stationary, κ) 3 holds for treelike partitions. As an application we study model constructions.

Two cardinal compactness
✍ Saharon Shelah 📂 Article 📅 1971 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 271 KB
More on the Least Strongly Compact Cardi
✍ Arthur W. Apter 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 229 KB

## 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.