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positive_measurable_numerical_function [2013/08/18 19:38] nikolaj |
positive_measurable_numerical_function [2013/09/06 23:32] nikolaj |
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| @#88DDEE: $f\in \mathrm{Measurable}(X,\overline{\mathbb R})$ | | | @#88DDEE: $f\in \mathrm{Measurable}(X,\overline{\mathbb R})$ | | ||
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| $x\in X$ | | | $x\in X$ | | ||
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==== Discussion ==== | ==== Discussion ==== | ||
- | ==== Context ==== | + | For the definition of the integral, it's crucial to know that for every $f\in \mathcal M^+$, there is a sequence $u_n$ with elements in the step functions $\mathcal T^+$, with $u_n\uparrow f$. |
+ | ==== Parents ==== | ||
=== Subset of === | === Subset of === | ||
[[Measurable numerical function]] | [[Measurable numerical function]] |