Abstract
We show that, consistently, for some regular cardinals θ < λ, there exists a Boolean algebra B such that |B| = λ+ and for every subalgebra Bʹ ⊆ B of size λ+ we have Depth(Bʹ) = θ.
| Original language | English |
|---|---|
| Pages (from-to) | 99-115 |
| Number of pages | 17 |
| Journal | Colloquium Mathematicum |
| Volume | 89 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2001 |
Bibliographical note
Publisher Copyright:© 2001, Instytut Matematyczny. All rights reserved.
Keywords
- Boolean algebras
- Depth
- Historic forcing