 Equivalence of metrics (source code)

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= Equivalence of metrics
{wiki=Equivalence_of_metrics}

The equivalence of metrics is a concept in metric spaces that refers to the idea that two different metrics define the same topology on a set. In more formal terms, two metrics \\( d_1 \\) and \\( d_2 \\) on a set \\( X \\) are said to be equivalent if they induce the same notions of convergence, continuity, and open sets.

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