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Bifurcation:topologically same?

  1. Feb 19, 2013 #1
    Hi I have not taken nay course in Topology. So can someone please explain what it means to say "in the neighborhood of some point bifurcation is topologically same"?
    thank you.
     
  2. jcsd
  3. Feb 20, 2013 #2

    HallsofIvy

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    As you have written it, it doesn't mean anything. What is "topologically the same" as what?
     
  4. Feb 22, 2013 #3
    If you compare both sides of the bifurcation point, they are topologically same.
     
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