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Jordan curves and arcs and related material such as the Schoenflies theorem in dimension two.
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votes
Nice proof of the Jordan curve theorem?
Carsten Thomassen's proof is relatively simple:
Carsten Thomassen, The Jordan-Schönflies theorem and the classification of surfaces. Amer. Math. Monthly 99 (1992), no. 2, 116-130.
By the way, the J …