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

Critical values lie on a line

Azat Ainouline

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

Abstract

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