Definition:Vertical Section of Set
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Definition
Let $X$ and $Y$ be sets.
Let $E \subseteq X \times Y$.
Let $x \in X$.
We define the $x$-vertical section $E_x$ of $E$ by:
- $E_x = \set {y \in Y : \tuple {x, y} \in E}$
Sources
- 2013: Donald L. Cohn: Measure Theory (2nd ed.) ... (previous) ... (next): $5.1$