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Show that there is no immersion of S^n into R^n

  1. Jul 12, 2008 #1

    hadi amiri 4

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    show that there is no immersion of [/n] into [R][/n]
     
    hadi amiri 4, Jul 12, 2008
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  3. Jul 12, 2008 #2

    hadi amiri 4

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    Re: immersion

    show that there is no immersion of S^n into R^n
     
    hadi amiri 4, Jul 12, 2008
  4. Jul 12, 2008 #3

    roam

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    Re: immersion

    By definition;

    [tex]f : S^{n}\rightarrow R^n[/tex] is an immersion if;

    [tex]D_{p}f : T_{p}S^n \rightarrow T_{f(p)}R^n[/tex]
     
    roam, Jul 12, 2008
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