From: abc@maths.uwa.edu.au Subject: Sard's Theorem Date: 1 Feb 2000 05:22:25 GMT Newsgroups: sci.math.research Summary: [missing] Sard's Theorem says that the measure of critical values is zero. The proof is long. About 20 years ago, I came across a shorter (not much but without measure theory) proof of a special version that the set of critical values does not have any interior point. Unfortunately, I cannot remember where I saw it. Be very grateful if somebody can give me the reference for it. Thank you in advance. twma@maths.uwa.edu.au ============================================================================== From: israel@math.ubc.ca (Robert Israel) Subject: Re: Sard's Theorem Date: 1 Feb 2000 16:00:15 -0600 Newsgroups: sci.math.research In article , abc@maths.uwa.edu.au writes: > Sard's Theorem says that the measure of critical values is zero. The proof > is long. There's a nice short proof in J. Milnor, "Topology from the Differentiable Viewpoint", University Press of Virginia 1965. Robert Israel israel@math.ubc.ca Department of Mathematics http://www.math.ubc.ca/~israel University of British Columbia Vancouver, BC, Canada V6T 1Z2