The power set ℘(X) of a given set X is the collection of all subsets of X. We will work with set functions (i.e., functions whose domains are sets of sets) from Chapter 2 onwards. To begin with, we might assume that a natural candidate for the domain of such functions of sets would be the power set ℘(X) of a given set X.

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Measurable Functions

  • Carlos S. Kubrusly

摘要

The power set ℘(X) of a given set X is the collection of all subsets of X. We will work with set functions (i.e., functions whose domains are sets of sets) from Chapter 2 onwards. To begin with, we might assume that a natural candidate for the domain of such functions of sets would be the power set ℘(X) of a given set X.