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Extension of set functions to measures and applications to inverse limit measures

1975
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Canadian mathematical bulletin
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Introduction. In measure theory and probability it is often useful to be able to extend a set function g to a measure p. One situation in which such an extension arises is that of obtaining limit measures for inverse (or projective) systems of measure spaces ([1], [5] ). Since such extensions do not exist in general, conditions must be placed on g in order to guarantee the existence of a measure which is an extension of g. A condition frequently assumed for this purpose is that g can be

doi:10.4153/cmb-1975-099-1
fatcat:okge2eofmzdt5jbxbkbgtbo7de