Geodesic
A problem of von Neumann and Maharam about algebras supporting continuous submeasures
Stevo Todorcevic1
1 Université Paris VII, C.N.R.S. UMR 7056 2 Place Jussieu 75251 Paris, France and Department of Mathematics University of Toronto Toronto, Canada, M5S 3G3 and Centre de Recerca Matèmatica Apartat 50 E-08193 Bellaterra, Spain
Fundamenta Mathematicae, Tome 183 (2004) no. 2, pp. 169-183.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that a $\sigma $-algebra ${{\mathbb B}}$ carries a strictly positive continuous submeasure if and only if ${{\mathbb B}}$ is weakly distributive and it satisfies the $\sigma $-finite chain condition of Horn and Tarski.
DOI : 10.4064/fm183-2-7
Keywords: sigma algebra mathbb carries strictly positive continuous submeasure only mathbb weakly distributive satisfies sigma finite chain condition horn tarski

Stevo Todorcevic 1

1 Université Paris VII, C.N.R.S. UMR 7056 2 Place Jussieu 75251 Paris, France and Department of Mathematics University of Toronto Toronto, Canada, M5S 3G3 and Centre de Recerca Matèmatica Apartat 50 E-08193 Bellaterra, Spain 
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Stevo Todorcevic. A problem of von Neumann and Maharam about
 algebras supporting continuous submeasures. Fundamenta Mathematicae, Tome 183 (2004) no. 2, pp. 169-183. doi : 10.4064/fm183-2-7. http://geodesic.mathdoc.fr/articles/10.4064/fm183-2-7/

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