Definition:Inversion Mapping/Topology

Definition
Let $T = \left({G, \circ, \tau}\right)$ be a topological group.

Let $\phi: G \to G$ be the mapping defined as:
 * $\forall x \in G: \phi \left({x}\right) = x^{-1}$

Then $\phi$ is the inversion mapping of $T$.

Also see

 * Inversion Mapping on Topological Group is Homeomorphism