Example · High school
Terms
| Term | This example | Why |
|---|
| inclusion map |
✓ |
The function $\iota : \mathbb{Z} \to \reals$ defined by $\iota(n) = n$ is the inclusion map of $\mathbb{Z}$ into $\reals$, because $\iota$ sends each integer to itself, as a real number.
|
| identity function |
✗ |
The function $\iota : \mathbb{Z} \to \reals$ defined by $\iota(n) = n$ is not an identity function, because its codomain $\reals$ is different from its domain $\mathbb{Z}$. For example, no integer is sent to $1/2$.
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