English

Depth^+ and Length^+ of Boolean algebras

Rings and Algebras 2020-01-01 v3 Logic

Abstract

Let inv denote the cardinal invariants Depth^+ and Length^+ on Boolean algebras. For many singular cardinals we create a strict inequality between the product of the inv values and the inv of the product algebra. The proof holds in ZFC.

Keywords

Cite

@article{arxiv.1303.3704,
  title  = {Depth^+ and Length^+ of Boolean algebras},
  author = {Shimon Garti and Saharon Shelah},
  journal= {arXiv preprint arXiv:1303.3704},
  year   = {2020}
}

Comments

11 pages, accepted version after minor changes

R2 v1 2026-06-21T23:42:32.961Z