About: Continuity set

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In measure theory, a branch of mathematics, a continuity set of a measure μ is any Borel set B such that where is the (topological) boundary of B. For signed measures, one asks that The class of all continuity sets for given measure μ forms a ring. Similarly, for a random variable X, a set B is called continuity set if

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  • In measure theory, a branch of mathematics, a continuity set of a measure μ is any Borel set B such that where is the (topological) boundary of B. For signed measures, one asks that The class of all continuity sets for given measure μ forms a ring. Similarly, for a random variable X, a set B is called continuity set if (en)
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  • In measure theory, a branch of mathematics, a continuity set of a measure μ is any Borel set B such that where is the (topological) boundary of B. For signed measures, one asks that The class of all continuity sets for given measure μ forms a ring. Similarly, for a random variable X, a set B is called continuity set if (en)
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  • Continuity set (en)
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