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I need to give an example of two metrics on a set that induce the same topology, but where a sequence is Cauchy relative to one of the metrics and not the other.

Any help would be appreciated! Thanks!

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    Please make the bodies of your posts self-contained, not relying on the title for content.2011-04-06
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    Closely related: http://math.stackexchange.com/questions/7578/two-metrics-induce-the-same-topology-but-one-is-complete-and-the-other-isnt2011-04-06

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