Abstract
We give a sufficient geometric condition for a subset A of R n to enjoy the following property for a fixed C≥1: There is δ>0 such that for 0≤ε≤δ, each (1+ε)-bilipschitz map f: A→R n extends to a (1+Cε)-bilipschitz map F: R n →R n.
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Alestalo, P., Trotsenko, D.A. & Vaisala, J. Linear Bilipschitz Extension Property. Siberian Mathematical Journal 44, 959–968 (2003). https://doi.org/10.1023/B:SIMJ.0000007471.47551.5d
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DOI: https://doi.org/10.1023/B:SIMJ.0000007471.47551.5d