Can finite metric spaces be embedded into n-dimensional surfaces?

[Dragonfall]

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?

 

[hamster143]

http://en.wikipedia.org/wiki/Whitney's_embedding_theorem

 

[Dragonfall]

Yes but how does this relate to metric spaces?

 

[Dragonfall]

Anyone?

 

[hamster143]

Check out Nash embedding theorem, too.