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Dense subtrees in complete Boolean algebras

✍ Scribed by Bernhard König

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
94 KB
Volume
52
Category
Article
ISSN
0044-3050

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✦ Synopsis

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 Verlag GmbH & Co. KGaA, Weinheim)

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