Length of Boolean algebras and ultraproducts
Logic
2007-05-23 v1 General Topology
Abstract
We prove the consistency with ZFC of ``the length of an ultraproduct of Boolean algebras is smaller than the ultraproduct of the lengths''. Similarly for some other cardinal invariants of Boolean algebras.
Cite
@article{arxiv.math/9805145,
title = {Length of Boolean algebras and ultraproducts},
author = {Menachem Magidor and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9805145},
year = {2007}
}