Browsing by Subject "Cohomology"

Now showing 1 - 1 of 1
  • Thumbnail Image
    ItemOpen Access
    Simplicial Homology and De Rham's Theorem
    (2009-05-04T17:49:18Z) Thorner, Jesse A.
    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.