𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Constructivizability of superatomic Boolean algebras

✍ Scribed by S. S. Goncharov

Publisher
Springer US
Year
1973
Tongue
English
Weight
412 KB
Volume
12
Category
Article
ISSN
0002-5232

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Superatomic Boolean algebras constructed
Superatomic Boolean algebras constructed from strongly unbounded functions
✍ 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