Cellularity of free products of Boolean algebras (or topologies)
Logic
2008-02-03 v1 General Topology
Abstract
We answer Problem 1 of Monk if there are Boolean algebras B_1,B_2 such that c(B_i) <= lambda_i but c(B_1 x B_2)> lambda_1+ lambda_2 where lambda_1= mu is singular and mu > lambda_2= theta >cf(mu)
Cite
@article{arxiv.math/9508221,
title = {Cellularity of free products of Boolean algebras (or topologies)},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/9508221},
year = {2008}
}