So munkres states that equicontinuity depends on the metric and not only on the topology. I'm a little confused by this. Is he saying that if we take [itex]C(X,Y)[/itex] where the topology on [itex]Y[/itex] can be generated by metrics [itex]d[/itex] and [itex]p[/itex], then a set of functions [itex]F[/itex] might be equicontinuous in one and not the other? This seems unlikely as continuity is a topological property, and equicontinuity just seems to be a bit of a tweak on this for function spaces.(adsbygoogle = window.adsbygoogle || []).push({});

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# Munkres states that equicontinuity depends on metrics

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