Symbols:Set Theory/Set Union/Set of Sets

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Union of Set of Sets

$\bigcup$


Let $\mathbb S$ be a set of sets.

The union of $\mathbb S$ is:

$\bigcup \mathbb S := \set {x: \exists X \in \mathbb S: x \in X}$

That is, the set of all elements of all elements of $\mathbb S$.


Thus the general union of two sets can be defined as:

$\bigcup \set {S, T} = S \cup T$


The $\LaTeX$ code for \(\bigcup\) is \bigcup .


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