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smallest_generated_σ-algebra [2013/08/18 14:45]
nikolaj
smallest_generated_σ-algebra [2013/08/18 14:48]
nikolaj
Line 3: Line 3:
 | @#88DDEE: $X$ | | @#88DDEE: $X$ |
  
-| @#55EE55: $\sigma_X(A):\equiv \bigcap \{C\ |\ A\subseteq C\land C\subseteq \mathrm{SigmaAlgebra}(X)\} $ |+| @#55EE55: $\sigma(A):\equiv \bigcap \{C\ |\ A\subseteq C\land C\subseteq \mathrm{SigmaAlgebra}(X)\} $ |
 ==== Discussion ==== ==== Discussion ====
 The smallest σ-algebra over $X$ generated by, and hence containing, $A$. The smallest σ-algebra over $X$ generated by, and hence containing, $A$.
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