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Smallest generated σ-algebra
Definition
| $A\subseteq X$ |
| $\sigma_X(A)\equiv \bigcap \{B\ |\ A\subseteq B\land B\subseteq \mathrm{SigmaAlgebra}(X)\} $ |
Discussion
The smallest σ-algebra over $X$ generated by, and hence containing, $A$.
Reference
Wikipedia: σ-Operator (german)
Context
Element of
