Viewing topic: Pointwise Boundedness

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Pointwise Boundedness

  • Definition: If (Y, d) is a metric space, a subset F of C(X, Y) is said to be pointwise bounded under d if for each x in X, the subset F_a ={f(a) | f is in F} of Y is bounded under d.

    Source: Topology (second edition) by James R. Munkres

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