Definition: Measurable Set
A set \(M\) with a \(\sigma \)algebra \({\mathcal {A}}\) defined on it as well as all of its subsets \(T\subseteq M\) are called measurable sets.
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References
Adapted from CC BYSA 3.0 Sources:
 Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of OsnabrÃ¼ck