monocompact (measure)

Last-modified: 2010-10-30 (土) 06:51:15

Definition

  • Let (X,S,m) be a measure space. Then m is said to be monocompact, if there exist a monocompact family which m-approximates S. A family K of sets in X is said to m-approximate S, if for every element E in S and every nonnegative number g which is less than mE, we have F in S with m-measure greater or equal g, and element in K which contains F and contained in E.

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