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A generalization of the Kolmogorov consistency theorem for vector measures. (English) Zbl 0723.28004
It is stated a generalization of the well-known Kolmogorov consistency theorem for measures (which are inner regular in a certain sense) defined on rings (of subsets of products of topological spaces) and taking values in a boundedly $$\sigma$$-complete weakly $$\sigma$$-distributive vector lattice.

##### MSC:
 28B05 Vector-valued set functions, measures and integrals 28B15 Set functions, measures and integrals with values in ordered spaces