Abstract and Applied Analysis
Volume 2004 (2004), Issue 9, Pages 757-776

Critical values lie on a line

Azat Ainouline

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.


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