Definition:Inversion Mapping/Topology

Definition

Let $T = \struct {G, \circ, \tau}$ be a topological group.

Let $\iota: G \to G$ be the mapping defined as:

$\forall x \in G: \map \iota x = x^{-1}$

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

Also see

• Inversion Mapping on Topological Group is Homeomorphism

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