We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.
@article{118889,
author = {Lutz Heindorf},
title = {Another note on countable Boolean algebras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {37},
year = {1996},
pages = {815-819},
zbl = {0887.06007},
mrnumber = {1440712},
language = {en},
url = {http://dml.mathdoc.fr/item/118889}
}
Heindorf, Lutz. Another note on countable Boolean algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 815-819. http://gdmltest.u-ga.fr/item/118889/
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