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June 11th, 2017, 06:04 AM  #1 
Member Joined: Apr 2014 From: Greece Posts: 58 Thanks: 0  Normed space VS metric space
Can anyone explain what is the difference between metric and normed spaces?And if possible can you give me an example of a metric space that isn't normed? Because I know that by definition every normed space is metric but I don't see how a metric space cannot be normed. 
June 13th, 2017, 03:58 AM  #3 
Member Joined: Apr 2014 From: Greece Posts: 58 Thanks: 0 
Yeah that was a great help.....

June 13th, 2017, 08:07 AM  #4 
Senior Member Joined: Aug 2012 Posts: 2,010 Thanks: 574  Did you find those stackexchange and other pdf links insightful? I certainly did. They contained many interesting examples of metrics that aren't derived from norms, as well as detailed technical explanations of why this phenomenon occurs. What did you think of them? Last edited by Maschke; June 13th, 2017 at 08:53 AM. 

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