The wikipedia article on Jordan-Schoenflies outlines a proof using the Caratheodory theorem on conformal mappings. My doubt is that the proof uses the Riemann mapping theorem. However we do not apriori know the interior of a Jordan curve is simply connected. I checked Pommerenke's book too. But the confusion persists. Some references would be greatly appreciated.
2026-03-25 09:39:47.1774431587
Proof of Jordan-Schoenflies via conformal mappings.
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