I am looking for a (family of) surjective K-Lipschitz function $f : [0,1]^n \rightarrow [0,1]^m$ where $n < m$. I am more interested in an explicit description of such a function than in a proof of its existence (if it exists...).
2026-03-28 10:17:33.1774693053
K-Lipschitz surjection to higher dimension
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Such a map cannot exist, as Lipschitz-maps cannot increase Hausdorff-dimension.