Category:Horizontal Section of Measurable Set is Measurable
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This category contains pages concerning Horizontal Section of Measurable Set is Measurable:
Let $\struct {X, \Sigma_X}$ and $\struct {Y, \Sigma_Y}$ be measurable spaces.
Let $E \in \Sigma_X \otimes \Sigma_Y$ where $\Sigma_X \otimes \Sigma_Y$ is the product $\sigma$-algebra of $\Sigma_X$ and $\Sigma_Y$.
Let $y \in Y$.
Then:
- $E^y \in \Sigma_X$
where $E^y$ is the $y$-horizontal section of $E$.
Pages in category "Horizontal Section of Measurable Set is Measurable"
The following 3 pages are in this category, out of 3 total.