# Sh:503

- Shelah, S. (1994).
*The number of independent elements in the product of interval Boolean algebras*. Math. Japon.,**39**(1), 1–5. arXiv: math/9312212 MR: 1261328 -
Abstract:

We prove that in the product of \kappa many Boolean algebras we cannot find an independent set of more than 2^\kappa elements solving a problem of Monk (earlier it was known that we cannot find more than 2^{2^\kappa} but can find 2^\kappa). - No downloadable versions available.

Bib entry

@article{Sh:503, author = {Shelah, Saharon}, title = {{The number of independent elements in the product of interval Boolean algebras}}, journal = {Math. Japon.}, fjournal = {Mathematica Japonica}, volume = {39}, number = {1}, year = {1994}, pages = {1--5}, issn = {0025-5513}, mrnumber = {1261328}, mrclass = {06E05 (03E05 03G05)}, note = {\href{https://arxiv.org/abs/math/9312212}{arXiv: math/9312212}}, arxiv_number = {math/9312212} }