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Selectivity and Weakly Compact Cardinals

โœ Scribed by Milner, E. C.

Book ID
120093488
Publisher
Oxford University Press
Year
1982
Tongue
English
Weight
106 KB
Volume
14
Category
Article
ISSN
0024-6093

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๐Ÿ“œ SIMILAR VOLUMES

A Remark on Weakly Compact Cardinals
A Remark on Weakly Compact Cardinals
โœ Tapani Hyttinen ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 134 KB ๐Ÿ‘ 1 views

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

Weakly measurable cardinals
Weakly measurable cardinals
โœ Jason A. Schanker ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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 ฮบ is weakly measurable if for any collection A containing at most ฮบ + many subsets of ฮบ, there exists a n

On Compact Cardinals
On Compact Cardinals
โœ J. L. Bell ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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