A problem of von Neumann and Maharam about algebras supporting continuous submeasures
Stevo Todorcevic
Fundamenta Mathematicae, Tome 184 (2004), p. 169-183 / Harvested from The Polish Digital Mathematics Library
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We show that a σ-algebra 𝔹 carries a strictly positive continuous submeasure if and only if 𝔹 is weakly distributive and it satisfies the σ-finite chain condition of Horn and Tarski.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:282837 
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     title = {A problem of von Neumann and Maharam about algebras supporting continuous submeasures},
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     year = {2004},
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     language = {en},
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Stevo Todorcevic. A problem of von Neumann and Maharam about algebras supporting continuous submeasures. Fundamenta Mathematicae, Tome 184 (2004) pp. 169-183. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-2-7/