Theorem on the minorant. The denumerability of Maharam's problem
Matematičeskie zametki, Tome 21 (1977) no. 5, pp. 597-604
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It is proved that on a normed denumerably complete Boolean algebra each continuous exterior measure majorizes at least one measure. With the aid of this result and of the Kelley numbers, Maharam's well-known problem on the seminormability and normability of Boolean algebras is transformed to a problem on the additive minorants of semimeasures continuous from one side on denumerable algebras.
@article{MZM_1977_21_5_a2,
author = {V. N. Aleksyuk},
title = {Theorem on the minorant. {The} denumerability of {Maharam's} problem},
journal = {Matemati\v{c}eskie zametki},
pages = {597--604},
year = {1977},
volume = {21},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_5_a2/}
}
V. N. Aleksyuk. Theorem on the minorant. The denumerability of Maharam's problem. Matematičeskie zametki, Tome 21 (1977) no. 5, pp. 597-604. http://geodesic.mathdoc.fr/item/MZM_1977_21_5_a2/