English

Length and ultraproducts

Logic 2026-04-21 v2

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.

Cite

@article{arxiv.1804.05304,
  title  = {Length and ultraproducts},
  author = {Shimon Garti and Saharon Shelah},
  journal= {arXiv preprint arXiv:1804.05304},
  year   = {2026}
}
R2 v1 2026-06-23T01:23:53.562Z