A function whose domain is a collection of sets is called a set function. A measure is a nonnegative extended real-valued set function satisfying some further conditions. The domain of a measure is a subcollection of the power set ℘(X) of a given set X.

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Measure on a σ-Algebra

  • Carlos S. Kubrusly

摘要

A function whose domain is a collection of sets is called a set function. A measure is a nonnegative extended real-valued set function satisfying some further conditions. The domain of a measure is a subcollection of the power set ℘(X) of a given set X.