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Computable Families of Superatomic Boolean Algebras

✍ Scribed by P. E. Alaev


Book ID
111544900
Publisher
SP MAIK Nauka/Interperiodica
Year
2003
Tongue
English
Weight
192 KB
Volume
44
Category
Article
ISSN
0037-4466

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πŸ“œ SIMILAR VOLUMES


Superatomic Boolean algebras constructed
✍ Juan Carlos MartΓ­nez; Lajos Soukup πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 186 KB

Using Koszmider's strongly unbounded functions, we show the following consistency result: Suppose that ΞΊ, Ξ» are infinite cardinals such that ΞΊ + + + ≀ Ξ», ΞΊ < ΞΊ = ΞΊ and 2 ΞΊ = ΞΊ + , and Ξ· is an ordinal with ΞΊ + ≀ Ξ· < ΞΊ + + and cf(Ξ·) = ΞΊ + . Then, in some cardinal-preserving generic extension there is