The Hodge Structure on a Filtered Boolean Algebra
โ Scribed by Scott Kravitz
- Book ID
- 111587734
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 92 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0925-9899
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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 .
A familiar construction for a Boolean algebra A is its normal completion NA, given by its normal ideals or, equivalently, the intersections of its principal ideals, together with the embedding A โ NA taking each element of A to its principal ideal. In the classical setting of Zermelo-Fraenkel set th