The homology of de Rahm currents

Graduate Thesis Or Dissertation

Öffentlich Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/zg64tq04p

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Attribute Name	Values
Creator	Lekhyananda, Suravate
Abstract	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.
Resource Type	Masters Thesis
Date Available	2013-07-22T16:46:54+00:00
Date Issued	1988-06-27
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1989
Advisor	Parks, Harold R.
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Homology theory Duality theory (Mathematics)
Urheberrechts-Erklärung	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	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.
Replaces	http://hdl.handle.net/1957/40928

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