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>> No.8473329 [View]
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8473329

Is this basically just saying that random variables are morphisms in the category of measurable spaces?

Also when it says that [math]\mathcal{B}(E)[/math] is the sigma algebra generated from the collection of open sets, does it mean generated by the batty process described here?
https://en.wikipedia.org/wiki/Borel_set#Generating_the_Borel_algebra

What is the intuition behind said process? I am having trouble grasping it.

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