Summary
8.1 A measure defined on a semiring Φ is said to be strictly regular if its main prolongation is a prolongation of a Radon measure. If each open subset of Ω is a countable union of compact sets, if Φ̃ is the Borel σ-algebra, and if each compact set is μ-integrable, then μ is strictly regular (Theorem 8.1.2).
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© 1996 Springer-Verlag New York, Inc.
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Simonnet, M. (1996). Regularity. In: Measures and Probabilities. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4012-9_8
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DOI: https://doi.org/10.1007/978-1-4612-4012-9_8
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