Definition:Involution (Mapping)/Definition 2

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Definition

An involution is a mapping which is its own inverse:


$f: A \to A$ is an involution precisely when:

$\forall x, y \in A: \map f x = y \implies \map f y = x$


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.