Talk:Open mapping theorem

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Shouldn't these two theorems have a disambiguation page? Yuliya 18:41, 11 April 2007 (UTC)

I agree. Besides that the two topics are not related, we should give a proof, if sketchy, of the open mapping theorem in functional analysis, and the current structure makes it clumsy (right word?) to do so. I am going to split the article in a near future, (or anyone with free time can do it), since I don't see opposition. -- Taku 00:06, 15 May 2007 (UTC)

Another important open mapping theorem is that a continuous map with a finite dimensional target is open at a point if its differential at that point exists and is surjective. E.g., it can be used to show quite generally (without derivatives being continuous) that Lagrange multiplier methods work. Cf., . I might be a little biased about its importance, though, since one of my I guess weird opinions is that I am inclined to think it can and should be used to make the proof of inverse function theorem easier. Stephen A. Meigs 16:17, 22 July 2007 (UTC)