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I am trying to learn and understand proofs of classical theorems and successfully mastered a proof of JCT. (It was the well-known proof that uses Tietze Extension and Brouwer's fixed point theorem). I'd now like to learn a proof of the Jordan-Schoenfliess theorem. Is there an approach that builds on the Jordan Curve Theorem to prove the Jordan-Schoenfliess theorem so that I don't have to start from scratch?

Thank you,

Paul Epstein

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Yes, of course, the result is usually understood as a corollary. Complex analysis texts may have an outline. See Berenstein-Gay Complex variables. An introduction, which has a reasonable outline with additional references, and then discusses recent versions (due to Bell and Krantz) where the boundary is smooth. –  Andres Caicedo Nov 2 '13 at 20:58

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