Geodesic
Another note on countable Boolean algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 815-819.

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We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.
Classification : 06E05, 54E35, 54H12
Keywords: Boolean algebra; subalgebra lattice; metrizability 
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     title = {Another note on countable {Boolean} algebras},
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Heindorf, Lutz. Another note on countable Boolean algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 815-819. http://geodesic.mathdoc.fr/item/CMUC_1996__37_4_a13/