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Definition
Let \(\pi : X \to Y\) be a homomorphism. Then \(\pi\) is called equicontinuous if, for every open \(U \subseteq X\), there is an open \(V \subseteq X\) such that whenever \((x,x') \in V\), then \((xt, x't) \in U\), for all \(t \in T\).