Definition:Topological Group Homomorphism
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Definition
Let $G$ and $H$ be topological groups.
A mapping $\phi:G \to H$ is a homomorphism of topological groups if it is a continuous group homomorphism.
Let $G$ and $H$ be topological groups.
A mapping $\phi:G \to H$ is a homomorphism of topological groups if it is a continuous group homomorphism.