Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
measurable_space [2014/02/13 16:13] 127.0.0.1 external edit |
measurable_space [2016/06/20 18:46] nikolaj |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Measurable space ===== | ===== Measurable space ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#88DDEE: $X $ | | + | | @#55CCEE: context | @#55CCEE: $ X $ | |
| + | | @#FFBB00: definiendum | @#FFBB00: $ \langle X,\Sigma\rangle\in \mathrm{MeasurableSpace}(X) $ | | ||
| + | | @#55EE55: postulate | @#55EE55: $ \Sigma \in \mathrm{SigmaAlgebra}(X) $ | | ||
| - | | @#55EE55: $ \langle X,\Sigma\rangle\in \mathrm{MeasurableSpace}(X) $ | | + | ==== Discussion ==== |
| + | Every σ-algebra gives us a measurable space. | ||
| - | | @#55EE55: $ \Sigma \in \mathrm{SigmaAlgebra}(X) $ | | + | === Predicates === |
| - | + | ||
| - | ==== Discussion ==== | + | |
| - | Every σ-algebra gives us a measureable space. | + | |
| We call a set $X$ //measurable// if there is a sigma-algebra over it. | We call a set $X$ //measurable// if there is a sigma-algebra over it. | ||
