The homology of de Rahm currents Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/zg64tq04p

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  • This paper has two objectives. Firstly, we present the homological properties as defined by de Rham using a notion of current. We show this with the aid of the Eilenberg and Steenrod Axioms. The cohomology is defined in the usual fashion from algebraic topology. The second goal is the relationship between the cohomology derived from homology and the cohomology defined by forms. There are two important results for this, the one just mentioned, and the other being the Poincare Duality Theorem. This result may be stated as the duality between chains and cochains, or between the regions and integrands used by Poincare.
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  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
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