Sh:462

• Shelah, S. (1997). \sigma-entangled linear orders and narrowness of products of Boolean algebras. Fund. Math., 153(3), 199–275. arXiv: math/9609216 DOI: 10.4064/fm-153-3-199-275 MR: 1467577
• Abstract:
  We investigate \sigma-entangled linear orders and narrowness of Boolean algebras. We show existence of \sigma-entangled linear orders in many cardinals, and we build Boolean algebras with neither large chains nor large pies. We study the behavior of these notions in ultraproducts.

  Thesis: If there are infinitely many measurables, then there are a non-principal ultrafilter D on \kappa and a Boolean algebra B such that inc(B^\kappa / D) < (inc\,B)^\kappa / D.

• Version 2001-11-12_10 (95p) published version (77p)

@article{Sh:462,
 author = {Shelah, Saharon},
 title = {{$\sigma$-entangled linear orders and narrowness of products of Boolean algebras}},
 journal = {Fund. Math.},
 fjournal = {Fundamenta Mathematicae},
 volume = {153},
 number = {3},
 year = {1997},
 pages = {199--275},
 issn = {0016-2736},
 mrnumber = {1467577},
 mrclass = {03E05 (03E35 04A20 06A07 06E05)},
 doi = {10.4064/fm-153-3-199-275},
 note = {\href{https://arxiv.org/abs/math/9609216}{arXiv: math/9609216}},
 arxiv_number = {math/9609216}
}