✦ LIBER ✦

Simple complete Boolean algebras

✍ Scribed by Thomas J. Jech

Book ID: 112884664
Publisher: The Hebrew University Magnes Press
Year: 1974
Tongue: English
Weight: 456 KB
Volume: 18
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02758124

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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. (© 2006 WILEY‐VCH