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Old Dec11-09, 02:01 AM                  #1
Dragonfall

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Metric space embedding

I need to know about the embedding of finite metric spaces into n-dimensional surfaces in R^n. (sufficient/necessary conditions on the metric, etc). Can anyone point me towards a source?
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Old Dec11-09, 02:29 AM                  #2
hamster143

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Re: Metric space embedding

http://en.wikipedia.org/wiki/Whitney...edding_theorem
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Old Dec11-09, 12:07 PM                  #3
Dragonfall

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Re: Metric space embedding

Yes but how does this relate to metric spaces?
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Old Dec14-09, 10:25 AM                  #4
Dragonfall

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Re: Metric space embedding

Anyone?
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Old Dec14-09, 10:43 AM                  #5
hamster143

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Re: Metric space embedding

Check out Nash embedding theorem, too.
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