Sh:390

• Kanamori, A., & Shelah, S. (1995). Complete quotient Boolean algebras. Trans. Amer. Math. Soc., 347(6), 1963–1979.
• Abstract:
For I a proper, countably complete ideal on {\mathcal P}(X) for some set X, can the quotient Boolean algebra {\mathcal P}(X)/I be complete? This question was raised by Sikorski in 1949. By a simple projection argument as for measurable cardinals, it can be assumed that X is an uncountable cardinal \kappa, and that I is a \kappa-complete ideal on {\mathcal P}(\kappa ) containing all singletons. In this paper we provide consequences from and consistency results about completeness.
• Version 1994-01-20_10 (19p) published version (17p)
Bib entry
@article{Sh:390,
author = {Kanamori, Akihiro and Shelah, Saharon},
title = {{Complete quotient Boolean algebras}},
journal = {Trans. Amer. Math. Soc.},
fjournal = {Transactions of the American Mathematical Society},
volume = {347},
number = {6},
year = {1995},
pages = {1963--1979},
issn = {0002-9947},
mrnumber = {1282888},
mrclass = {03E35 (03E40 03E55 06E05)},
doi = {10.2307/2154916},
note = {\href{https://arxiv.org/abs/math/9401212}{arXiv: math/9401212}},
arxiv_number = {math/9401212}
}