On the theorems of Sard and de Rham

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/8c97kt30j

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Attribute Name	Values
Creator	Short, Donald Ray
Abstract	A geometric condition on differentiable maps is given which is equivalent to the set of critical values being nowhere dense. In particular, the geometric condition is satisfied for radially ductile maps. On the other hand it is proved that the induced map on the de Rham complex will be a monomorphism, provided the set of regular values is dense. These results, together with Bredon's theorem for ductile maps, yields a generalization of the classical de Rham Theorem.
Resource Type	Dissertation
Date Available	2010-07-27T17:38:26+00:00
Date Issued	1969-07-29
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1970
Advisor	Smith, J. Wolfgang
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Differential topology
Declaração de direitos	Copyright Not Evaluated
Publisher	Oregon State University
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/17133

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