Abstract
A simple example in Section 2.2 illustrated that the notions of nullcontinuity and σ-continuity are not identical (Example 2.2.6). We want to investigate the connection more thoroughly. Clarifying the connection between nullcontinuity and σ-continuity will also help illuminate, in the next section, the structure of the space of real measures on a ring of sets. We lay out a few preliminary results first.
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© 1998 Springer Science+Business Media New York
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Constantinescu, C., Filter, W., Weber, K., Sontag, A. (1998). Real Measures. In: Advanced Integration Theory. Mathematics and Its Applications, vol 454. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0852-5_7
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DOI: https://doi.org/10.1007/978-94-007-0852-5_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3739-6
Online ISBN: 978-94-007-0852-5
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