Displaying similar documents to “Category measures on Baire spaces.”

The measure extension problem for vector lattices

J. D. Maitland Wright (1971)

Annales de l'institut Fourier

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Let V be a boundedly σ -complete vector lattice. If each V -valued premeasure on an arbitrary field of subsets of an arbitrary set can be extended to a σ -additive measure on the generated σ -field then V is said to have the . Various sufficient conditions on V which ensure that it has this property are known. But a complete characterisation of the property, that is, necessary and sufficient conditions, is obtained here. One of the most useful characterisations is: V . This...