Length and ultraproducts

2018/04/15 by Shimon Garti, Saharon Shelah, Garti, Shimon +1
Mathematics · Computer Science · #Advanced Topology and Set Theory #Rings, Modules, and Algebras #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.1804.05304

Abstract

We construct, in ZFC, a sequence of Boolean algebras for which the product of Lengths is strictly smaller than the Length of the product algebra.

Related

• Length of Boolean algebras and ultraproducts
• The depth of ultraproducts of Boolean Algebras
• Ultraproducts of crossed product C*algebras
• On ultraproducts of Boolean Algebras and irr
• On incomparability and related cardinal functions on ultraproducts of Boolean algebras