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Abstract and Applied Analysis
Volume 2004 (2004), Issue 9, Pages 757-776
http://dx.doi.org/10.1155/S1085337504311012

Critical values lie on a line

Department of Mathematics & Statistics, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada T2N 1N4

Received 9 September 2003

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove that critical values set of a differentiable map lies on a line of certain smoothness class.