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July 3rd, 2017, 05:31 PM   #1
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Euler characteristic

Where can I find a complete and rigorous proof that it's well-defined? For manifolds. When you polygonilize them, show that no matter how you do it,you get the same integer.

Also, where can I find a prook it's a topological invariant?
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July 12th, 2017, 07:26 AM   #2
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I think that "Introduction to topological manifolds" by Lee gives the proof you seek. The only thing it doesn't prove explicitely is that surfaces have a triangulation, but that is fairly technical to prove actually.
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