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Strongly constructive Boolean algebras

✍ Scribed by P. E. Alaev


Publisher
Springer US
Year
2005
Tongue
English
Weight
249 KB
Volume
44
Category
Article
ISSN
0002-5232

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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