Simplicial Homology and De Rham's Theorem

dc.contributor.author	Thorner, Jesse A.
dc.date.accessioned	2009-05-04T17:49:18Z
dc.date.available	2009-05-04T17:49:18Z
dc.date.issued	2009-05-04T17:49:18Z
dc.department	Mathematics
dc.description.abstract	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.
dc.format.extent	280486 bytes
dc.format.mimetype	application/pdf
dc.identifier.uri	https://hdl.handle.net/10161/1280
dc.language.iso	en_US
dc.subject	Homology
dc.subject	Cohomology
dc.title	Simplicial Homology and De Rham's Theorem
dc.type	Honors thesis

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