Talk:Level set

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f is inconsistently bold (suggesting a vector) or not bold. I suppose we are talking about a scalar here; then it should not be bold.--Patrick 22:37, 12 May 2004 (UTC)

sorry bout that (hopefully fixed now) Dysprosia 22:59, 12 May 2004 (UTC)

[edit] Level set vs fiber (or fibre)

Level sets are simply the inverse images of singletons, more usually called "fibers" (or "fibres"). I think this connection should be made somewhere in this article. Is the term "level set" restricted to just real-valued functions of n variables? Or is it really just a synonym for "fiber"? PlanetMath seems to think so:. On the other hand, Mathworld's definition is even more restrictive, requiring "f" to be a differentiable function f : Rⁿ → R. — Paul August ☎ 19:02, August 7, 2005 (UTC)

Patrick has now added: "A level set is also called a fiber." Paul August ☎ 15:10, August 8, 2005 (UTC)

Yes, this seems correct. Dysprosia 04:48, 9 August 2005 (UTC)

[edit] Level set may be larger than a hypersurface

It should be pointed out that the level set is not always a curve or a hypersurface (for exampe if f is constant on an open set).--Pokipsy76 11:12, 27 October 2005 (UTC)

Anyone notice that "Implicit surface," listed in the Links section, leads back to this entry via a redirect? -anon

Thanks, I removed that self-redirect. Oleg Alexandrov (talk) 02:10, 19 June 2007 (UTC)