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$ alpha $-cut-complete Boolean algebras

✍ Scribed by A. W. Hager

Book ID: 105754721
Publisher: Springer
Year: 1998
Tongue: English
Weight: 207 KB
Volume: 39
Category: Article
ISSN: 0002-5240
DOI: 10.1007/s000120050067

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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