Measurable Set

If F is a sigma-algebra and A is a subset of X, then A is called measurable if A is a member of F. X need not have, a priori, a topological structure. Even if it does, there may be no connection between the open sets in the topology and the given sigma-algebra.

See also

Measurable Space, Sigma-Algebra

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Cite this as:

Weisstein, Eric W. "Measurable Set." From MathWorld--A Wolfram Web Resource.

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