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Measure space
Definition
$X $ |
$ \langle X,\Sigma,\mu\rangle $ … complete measure space over $X$ |
$ \langle X,\Sigma,\mu\rangle $ … measure space |
$\mu(N)=0$ |
$N'\subseteq N $ |
$ N'\in\Sigma $ |
Discussion
In a complete measure space, subsets of null-sets can also be measured (and they then have zero measure as well). This notion is just introduced to prevent some pathologies.
Reference
Wikipedia: Complete measure