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complete_measure_space [2013/09/07 23:23] nikolaj |
complete_measure_space [2014/03/21 11:11] (current) |
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| ===== Complete measure space ===== | ===== Complete measure space ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $X $ | | + | | @#55CCEE: context | @#55CCEE: $X $ | |
| - | | @#FFBB00: $ \langle X,\Sigma,\mu\rangle $ ... complete measure space over $X$ | | + | | @#FFBB00: definiendum | @#FFBB00: $ \langle X,\Sigma,\mu\rangle $ ... complete measure space over $X$ | |
| - | | @#55EE55: $ \langle X,\Sigma,\mu\rangle $ ... measure space | | + | | @#55EE55: postulate | @#55EE55: $ \langle X,\Sigma,\mu\rangle $ ... measure space | |
| | $\mu(N)=0$ | | | $\mu(N)=0$ | | ||
| | $N'\subseteq N $ | | | $N'\subseteq N $ | | ||
| - | | @#55EE55: $ N'\in\Sigma $ | | + | | @#55EE55: postulate | @#55EE55: $ N'\in\Sigma $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
