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).
• Version 1993-12-24_10 (6p)

@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}
}