Sh:641
- Shelah, S. (2001). Constructing Boolean algebras for cardinal invariants. Algebra Universalis, 45(4), 353–373. arXiv: math/9712286 DOI: 10.1007/s000120050219 MR: 1816973
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Abstract:
We construct Boolean Algebras answering questions of Monk on cardinal invariants. The results are proved in ZFC (rather than giving consistency results). We deal with the existence of superatomic Boolean Algebras with “few automorphisms", with entangled sequences of linear orders, and with semi-ZFC examples of the non-attainment of the spread (and hL, hd). - Version 2001-11-12_11 (20p) published version (21p)
Bib entry
@article{Sh:641,
author = {Shelah, Saharon},
title = {{Constructing Boolean algebras for cardinal invariants}},
journal = {Algebra Universalis},
fjournal = {Algebra Universalis},
volume = {45},
number = {4},
year = {2001},
pages = {353--373},
issn = {0002-5240},
mrnumber = {1816973},
mrclass = {03E04 (03E05 03E10 03G05 06E05)},
doi = {10.1007/s000120050219},
note = {\href{https://arxiv.org/abs/math/9712286}{arXiv: math/9712286}},
arxiv_number = {math/9712286},
keyword = {Set theory, Boolean algebras, pcf, cardinal invariants of
Boolean algebras, automorphisms, endomorphisms, attainment of
spread, semi--ZFC answers}
}