(adsbygoogle = window.adsbygoogle || []).push({}); Challenging Problem!!! (Equivalent Metrics)

I need to show that if (X,p) is a non-compact metric space, then there exists a metric p* equivalent to p such that (X,p*) is not complete.

I greatly appreciate your help!

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# Challenging Problem (Equivalent Metrics)

**Physics Forums | Science Articles, Homework Help, Discussion**