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
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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}
}