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Results tagged with jordan-curves
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user 542143
Jordan curves and arcs and related material such as the Schoenflies theorem in dimension two.
4
votes
Jordan plane curve such that $\frac{d(g(x),g(y))}{d(x,y)}\to0$?
Sure. It is a standard fact that the von Koch snowflake $C$ can be parametrized by
$$ f\colon S^1 \rightarrow C$$
where
$$ C^{-1}|x-y|^{1/p} \leq |f(x)-f(y)| \leq C|x-y|^{1/p},$$
$p\in (1,2)$ is the H …
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