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A On embeddings of compact manifolds

  1. May 14, 2016 #1

    fresh_42

    Staff: Mentor

    I have found the following entry on his blog by Terence Tao about embeddings of compact manifolds into Euclidean space (Whitney, Nash). It contains the theorems and (sketches of) proofs. Since it is rather short some of you might be interested in.
     
  2. jcsd
  3. May 14, 2016 #2
    hehe, I used that post a couple of days ago when I was checking an argument I was trying to use :)
    Very useful indeed.
     
  4. May 14, 2016 #3

    lavinia

    User Avatar
    Science Advisor
    Gold Member

    A triangulated manifold with n vertexes naturally embeds in the standard n- simplex in ##R^n##. But this embedding is high dimensional and not smooth.
     
    Last edited: May 15, 2016
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