Suppose that A is a subset of a metric space X. Does compactness of A depend on which metric is given to X? For example, if d(x,y) and p(x,y) are two possible metrics for X, is A compact with respect to the metric d(x,y) if and only if A is compact with respect to the metric p(x,y)?(adsbygoogle = window.adsbygoogle || []).push({});

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# Compactness in metric spaces.

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