A problem of von Neumann and Maharam about algebras supporting continuous submeasures
Volume 183 / 2004
Fundamenta Mathematicae 183 (2004), 169-183
MSC: Primary 28A60.
DOI: 10.4064/fm183-2-7
Abstract
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.
