Talk:Poincaré–Hopf theorem

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I added a paragraph entitled "Significance" which I hope will give the reader some concept of what index theorems are and why they are important. I hope I wasn't overly, well, enthusiastic. This theorem is a favorite of mine. The proof here is also sufficiently elementary that it seemed reasonable to briefly outline the main ideas underlying the proof. Greg Woodhouse 23:10, 20 March 2007 (UTC)