Bifurcation:topologically same?

rsaad

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.

HallsofIvy

As you have written it, it doesn't mean anything. What is "topologically the same" as what?

rsaad

If you compare both sides of the bifurcation point, they are topologically same.