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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

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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 WILEY‐VCH