# Identity map

From Encyclopedia of Mathematics

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*on a set $X$*

The transformation on $X$, often denoted $1_X$ or $\text{id}_X$ defined by $x \mapsto x$ for all $x \in X$.

**How to Cite This Entry:**

Identity map.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Identity_map&oldid=39297