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Results tagged with gn.general-topology
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user 542143
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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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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