Regularity of ultrafilters
β Scribed by Miroslav Benda; Jussi Ketonen
- Book ID
- 112884281
- Publisher
- The Hebrew University Magnes Press
- Year
- 1974
- Tongue
- English
- Weight
- 445 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We prove, in ZFC alone, some new results on regularity and decomposability of ultrafilters; among them: (a) If __m__ β₯ 1 and the ultrafilter __D__ is (~__m__~(__Ξ»__^+__n__^), ~__m__~(__Ξ»__^+__n__^))βregular, then __D__ is __ΞΊ__ βdecomposable for some __ΞΊ__ with __Ξ»__ β€ __ΞΊ__ β€ 2^__Ξ»__^
The firs~ par~ of the paper deals with some subclasses of B-algebras ~t~d Sheir applications to the semantics of SCI n, ~he Boolean s~rengthening of the sentential calculus with i~lentity (SCI). In the second part a generalization of the ~cKinsey-Tarski construction of well.connected topological Boo