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Part of the book series: Problem Books in Mathematics ((PBM))

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Abstract

For (X, Sβ,μ), a Borel set E is inner resp. outer regular iff resp. E is regular iff E is both inner and outer regular; μ is inner (outer) regular iff every Borel set is inner (outer) regular. (Similar conventions for regular apply to arbitrary nonnegative set functions.)

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© 1992 Springer Science+Business Media New York

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Gelbaum, B.R. (1992). Measure and Topology. In: Problems in Real and Complex Analysis. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0925-6_4

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  • DOI: https://doi.org/10.1007/978-1-4612-0925-6_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6949-6

  • Online ISBN: 978-1-4612-0925-6

  • eBook Packages: Springer Book Archive

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