July 3rd, 2017, 05:31 PM  #1 
Senior Member Joined: Apr 2014 From: zagreb, croatia Posts: 228 Thanks: 30 Math Focus: philosophy/found of math, metamath, logic, set/category/order/number theory, algebra, topology  Euler characteristic
Where can I find a complete and rigorous proof that it's welldefined? 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? 
July 12th, 2017, 07:26 AM  #2 
Member Joined: Oct 2009 Posts: 97 Thanks: 33 
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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characteristic, euler 
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