Category, Boolean algebras and measure
Maharam, D.
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Maharam, D.
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C. Gryllakis, G. Koumoullis (1990)
Compositio Mathematica
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Zdena Riečanová (1974)
Matematický časopis
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J. D. Maitland Wright (1971)
Annales de l'institut Fourier
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Let be a boundedly -complete vector lattice. If each -valued premeasure on an arbitrary field of subsets of an arbitrary set can be extended to a -additive measure on the generated -field then is said to have the . Various sufficient conditions on 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: . This...