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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

6 votes
1 answer
652 views

On the failure of extending a probability measure on uncountable $\Omega$

It is a well known fact that if $(\Omega, \mathcal{F}, P)$ is a probability triple and $\{A_i : i < k\}$ is a finite collection subsets of $\Omega$, then there is a $P' \supset P$ and $\mathcal{F'} \s …
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