On DEPTH and DEPTH^+ of Boolean Algebras
Logic
2018-02-06 v2
Abstract
We show that the Depth^+ of an ultraproduct of Boolean Algebras, can not jump over the Depth^+ of every component by more than one cardinality. We can have, consequently, similar results for the Depth invariant.
Cite
@article{arxiv.math/0512217,
title = {On DEPTH and DEPTH^+ of Boolean Algebras},
author = {Shimon Garti and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0512217},
year = {2018}
}