@article{21766,
  abstract     = {We provide a new characterisation of the decades old open problem of extending bilipschitz mappings given on a Euclidean separated net. In particular, this allows for the complete positive solution of the open problem in dimension two. Along the way, we develop a set of tools for bilipschitz extensions of mappings between subsets of Euclidean spaces.},
  author       = {Dymond, Michael and Kaluza, Vojtech},
  issn         = {2737-114X},
  journal      = {Annales Fennici Mathematici},
  keywords     = {Lipschitz, bilipschitz, extension, separated net.},
  number       = {1},
  pages        = {237--260},
  publisher    = {Finnish Mathematical Society},
  title        = {{Extending bilipschitz mappings between separated nets}},
  doi          = {10.54330/afm.181562},
  volume       = {51},
  year         = {2026},
}