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I've found a proof of Euler's formula by using binary homology. Does Binary Homology Theory really exist? If yes, could someone please give some reference for an introductory treatment of this?

mma
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    Do you already know about "homology" in general (without the qualifier "binary", which simply means "mod 2" here)? – Najib Idrissi Sep 13 '15 at 10:30
  • Unfortunately, not too much. It seems very complicated to me, but this treatment with a vector space of subsets with symmetric difference is very attractive to me But I don't know how is it related to the "real" homology theories. I didn't see this in any algebraic geometry book. And I also don't know what is the meaning of "homology over some field". – mma Sep 13 '15 at 19:49
  • It might be a good idea to learn some algebraic topology then. Hatcher's book Algebraic Topology is a commonly cited reference, and you can find alternatives there. – Najib Idrissi Sep 14 '15 at 08:48

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I think that binary homology means homology over the field $\mathbb{Z}_2$. In that case I recommend Hausmann's "Mod Two Homology and Cohomology".

Ugo Iaba
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