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Hi, I have some questions about the sigma-algebra and looking to having the detail explanation.

Thanks alot.


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(1) Let S = { E_1, ..., E_n} be a collection of nonempty subsets of a set X such that
E_1 U .. U E_n = X and the E_i are pairwise disjoint.

What is the sigma-algebra generated by S?

This consists of

{}, X,

the E_i's,

and the (finite) unions ...

Solution Summary

This is a set of sigma-algebra questions with sets.