Simple Complete Boolean Algebras

2004/06/22 by Thomas Jech, Saharon Shelah
Mathematics · #math.LO

paper · pdf

published as Proceedings of the American Mathematical Society, 129:543--549, 2001

arxiv created 2004/06/22 · arxiv updated 2009/12/01

Abstract

For every regular cardinal kappa there exists a simple complete Boolean algebra with kappa generators.

Related

• The number of openly generated Boolean algebras
• A complete Boolean algebra that has no proper atomless complete\n subalgebra
• Concerning problems about cardinal invariants on Boolean algebras
• Constructing Boolean algebras for cardinal invariants
• Notes on countably generated complete Boolean algebras