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A superatomic Boolean algebra with few automorphisms

โœ Scribed by Matatyahu Rubin; Sabine Koppelberg


Publisher
Springer
Year
2001
Tongue
English
Weight
43 KB
Volume
40
Category
Article
ISSN
0933-5846

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A Note on Boolean Algebras with Few Part
โœ Markus Huberich ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 161 KB

We show that for every uncountable regular K and every K-complete Boolean algebra B of density 5 K there is a filter F B such that the number of partitions of length < K modulo F is 5 2'". We apply this to Boolean algebras of the form P ( X ) / I , where I is a n-complete K-dense ideal on X .