Simplicial Homology and De Rham's Theorem
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After giving the necessary background in simplicial homology and cohomology, we will state Stokes's theorem and show that integration of di erential forms on a smooth, triangulable manifold M provides us with a homomorphism from the De Rham cohomology of M to the simplicial cohomology of M. De Rham's theorem, which claims that this homomorphism is in fact an isomorphism, will then be stated and proved.
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