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Measurable Cardinals and a Combinatorial Principle of Jensen

✍ Scribed by Keith J. Devlin


Book ID
124972302
Publisher
Association for Symbolic Logic
Year
1973
Tongue
English
Weight
273 KB
Volume
38
Category
Article
ISSN
0022-4812

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Weakly measurable cardinals
✍ Jason A. Schanker πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 194 KB

In this article, we introduce the notion of weakly measurable cardinal, a new large cardinal concept obtained by weakening the familiar concept of a measurable cardinal. Specifically, a cardinal ΞΊ is weakly measurable if for any collection A containing at most ΞΊ + many subsets of ΞΊ, there exists a n