The extension and completion of the universal measure and the dual of the space of measures

Graves, William H.; Sentilles, Dennis

doi:10.1016/0022-247x(79)90111-2

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~3(t) =_ H \ U{ib It • B} It Is a Screen Of The Space H And1

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1995

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Cited by 7 publications

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“…The Borel preimage was studied in [46,48,49]. The concrete character of the realizing morphism is established by the following Proposition.…”

Section: ~3(t) =_ H \ U{ib It • B} It Is a Screen Of The Space H Andmentioning

confidence: 97%

“…According to the criterion from 1.3.2, this a-preimage exists and is a realizing asL-preimage of the crLextension u: C ~-+ C ~'. This preimage was examined in [32,34,35,39,46,48,49,76]. Since the hyperstonean preimage is defined via C t', Fremlin, in his review of the monograph [59], raised the problem of the ez.istence of a direct topological construction of the hyperstonean preimage T ~ hT out closed sets and, correspondingly, zero-sets of a space T. A function f: T ~ R will be called an A-function if for any n there exists a finite covering {A,,i I i} C A of the space T such that w(f, …”

Section: 32mentioning

confidence: 99%

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