# Sh:575

- Shelah, S. (2000).
*Cellularity of free products of Boolean algebras (or topologies)*. Fund. Math.,**166**(1-2), 153–208. arXiv: math/9508221 MR: 1804709 -
Abstract:

We answer Problem 1 of Monk if there are Boolean algebras B_1,B_2 such that c(B_i)\leq\lambda_i but c(B_1\times B_2)> \lambda_1+\lambda_2 where \lambda_1=\mu is singular and \mu>\lambda_2=\theta>cf(\mu) - Version 2005-02-03_11 (59p) published version (56p)

Bib entry

@article{Sh:575, author = {Shelah, Saharon}, title = {{Cellularity of free products of Boolean algebras (or topologies)}}, journal = {Fund. Math.}, fjournal = {Fundamenta Mathematicae}, volume = {166}, number = {1-2}, year = {2000}, pages = {153--208}, issn = {0016-2736}, mrnumber = {1804709}, mrclass = {03G05 (03E04 54A25)}, note = {\href{https://arxiv.org/abs/math/9508221}{arXiv: math/9508221}}, specialissue = {Saharon Shelah's anniversary issue}, arxiv_number = {math/9508221} }