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Jordan curves and arcs and related material such as the Schoenflies theorem in dimension two.

4 votes
2 answers
247 views

Curves in the plane and their number of holes

Suppose that the closed, piecewise $C^1$-curve $f(\mathbb T)$ has exactly $n$ points that are run through twice, all other points are run through once. Is it true that the compact set $f(\mathbb T) …
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