Additive and semiadditive functions on Boolean algebras
✍ Scribed by V. A. Popov
- Book ID
- 112450743
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1976
- Tongue
- English
- Weight
- 527 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let 5 be a family of subsets of an n-set, considered as a subposet of the Boolean algebra B.. Adjoin a minimum 0 and maximum i if necessary to form @. Let ~(95) denote the value of the Mdbius function p(6,i) in &. We compute the maximum value of Ip( as 9 ranges over three types of families in B,: lo
Using Koszmider's strongly unbounded functions, we show the following consistency result: Suppose that κ, λ are infinite cardinals such that κ + + + ≤ λ, κ < κ = κ and 2 κ = κ + , and η is an ordinal with κ + ≤ η < κ + + and cf(η) = κ + . Then, in some cardinal-preserving generic extension there is