NDLI: Representing a Differentiable Function as a Cartesian Product

Content Provider	Scilit
Author	Colvin, Michael R.
Copyright Year	1983
Description	This article produces an elementary proof of a result originally stated without proof by J. Leray. The main result gives conditions so that a continuously differentiable map from a product neighborhood of the origin in into can be homotoped to a cartesian product of maps on intervals. The resulting product function preserves properties of the original map near the origin.
Related Links	http://www.ams.org/proc/1983-89-03/S0002-9939-1983-0715879-3/S0002-9939-1983-0715879-3.pdf
Ending Page	526
Page Count	4
Starting Page	523
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2045509
Journal	Proceedings of the American Mathematical Society
Issue Number	3
Volume Number	89
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	History and Philosophy of Science Logic Cartesian Product Function As A Cartesian Representing A Differentiable Function
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Representing a Differentiable Function as a Cartesian Product