Example · High school
Terms
| Term | This example | Why |
|---|
| union |
$A \cup B = \setdef{\text{apple}, \text{banana}}$
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| disjoint union (of disjoint sets) |
$A \cup B = \setdef{\text{apple}, \text{banana}}$
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$A$ and $B$ are disjoint, so their union is a union of disjoint sets. The tagged disjoint union is usually identified with it.
|
| disjoint union (tagged) |
$A \sqcup B = \setdef{(1, \text{apple}), (2, \text{banana})}$
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Each element is tagged with $1$ (from $A$) or $2$ (from $B$). The result is usually identified with $\setdef{\text{apple}, \text{banana}}$.
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Distinctions using this example
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