Abstract and Applied Analysis
Volume 2004 (2004), Issue 9, Pages 757-776
doi:10.1155/S1085337504311012
Critical values lie on a line
Department of Mathematics & Statistics, University of Calgary, 2500 University Drive NW, Calgary T2N 1N4, AB, Canada
Received 9 September 2003
Copyright © 2004 Azat Ainouline. 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.