===== Complete measure space =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $X $ |

| @#FFBB00: definiendum | @#FFBB00: $ \langle X,\Sigma,\mu\rangle $ ... complete measure space over $X$ |

| @#55EE55: postulate   | @#55EE55: $ \langle X,\Sigma,\mu\rangle $ ... measure space |

| $\mu(N)=0$ |
| $N'\subseteq N $ |

| @#55EE55: postulate   | @#55EE55: $ 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: [[http://en.wikipedia.org/wiki/Complete_measure|Complete measure]]
==== Parents ====
=== Subset of ===
[[Measure space]]