Question: Topology problem Let f be a continuous function from the metric space X to the metric space Y and let E be a subset of

Topology problem

Let f be a continuous function from the metric space X to the metric space Y and let E be a subset of X. Show that the restriction of f to E is a continuous function from E to Y

Hint:this follows immediately from the definition of continuity in terms of mapping convergent sequence to convergence sequence

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