Cofinalities of complete boolean algebras
β Scribed by Koppelberg, Sabine
- Publisher
- Springer-Verlag
- Year
- 1980
- Weight
- 508 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0003-9268
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## Abstract We characterize complete Boolean algebras with dense subtrees. The main results show that a complete Boolean algebra contains a dense tree if its generic filter collapses the algebra's density to its distributivity number and the reverse holds for homogeneous algebras. (Β© 2006 WILEYβVCH
The notion of a BooLEan algebra with operators was introduced by J~NSSON and TARSKI [ 5 ] . It encompasses as special cases relation algebras (TARSKI [9]), closure algebras (MCKINSEY-TARSKI [S]), cylindric algebras (HENRIN-TARSKI [4]), polyadic algebras (HALMOS [Z]), and other algebras which have be