# Definition:Involution (Mapping)/Definition 2

Jump to navigation Jump to search

## 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.