Bi-Lipschitz decomposition of Lipschitz functions into a metric space
Bi-Lipschitz decomposition of Lipschitz functions into a metric space
We prove a quantitative version of the following statement. Given a Lipschitz function f from the k-dimensional unit cube into a general metric space, one can be decomposed f into a finite number of BiLipschitz functions f|_{F_i} so that the k-Hausdorff content of f([0,1]^k\smallsetminus \cup F_i) is small. We thus …