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

  • #1
show that there is no immersion of [/n] into [R][/n]
 

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  • #2


show that there is no immersion of S^n into R^n
 
  • #3
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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]
 

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