Construction of Measure from Semialgebra of Sets1

In our previous article [22], we showed complete additivity as a condition for extension of a measure. However, this condition premised the existence of a σ-field and the measure on it. In general, the existence of the measure on σ-field is not obvious. On the other hand, the proof of existence of a...

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Bibliographic Details
Main Author: Endou Noboru
Format: Article
Language:English
Published: Sciendo 2015-12-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.1515/forma-2015-0025