Talk:Jordan–Schönflies theorem

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Mathematics rating:	Stub Class	Low Priority	Field: Topology
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. --Cronholm144 03:46, 16 June 2007 (UTC)

Continuous motion? Sounds more like a homotopy, put that way. Charles Matthews 06:38, 10 Jun 2004 (UTC)

I agree (though possibly you meant isotopy), and I've changed the statement to suit. Zaslav 08:08, 25 August 2007 (UTC)

Why is this called the Jordan-Schŏnflies theorem rather than the Schŏnflies theorem? Many people call it by the latter name. From the description, it seems that it is not Jordan but rather Schŏnflies who obtained this theorem. Can someone explain why we use the former name in Wikipedia? Thank you. Zaslav 21:17, 8 February 2007 (UTC)

I think the former name is used mainly in textbooks for the case of the plane (I think Moise's book uses that term, but I would have to check). I would guess many research mathematicians don't really use it. I suggest either redirecting Jordan-Schoenflies to Schoenflies, or making this article more elementary and covering only the 2D case (explain some proof, etc.) while relegating the other stuff (like on different categories) to a more general "Schoenflies conjecture" page. Or one might even want a whole page for the generalized Schoenflis theorem which would explain the differences in the Brown and Mazur-Morse proofs (the former relies on Bing shrinking while the latter uses an "infinite swindle"), while having a separate page on the conjecture (for the smooth and PL categories). —Preceding unsigned comment added by 24.10.30.15 (talk) 01:49, August 26, 2007 (UTC)