Definition:Involution (Mapping)/Definition 2
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Definition
Let $A$ be a set.
Let $f: A \to A$ be a mapping on $A$.
$f$ is an involution if and only if:
- $\forall x, y \in A: \map f x = y \implies \map f y = x$
Also known as
An involution is also known as an involutive mapping or an involutive function.
An involutive mapping can also be found described as self-inverse.
Also see
- Results about involutions can be found here.