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arXiv · 2507.22007

Extending Bilipschitz Mappings between Separated Nets

Michael Dymond·Vojtěch Kaluža
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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.

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Michael Dymond, Vojtěch Kaluža. 2025-07-29. Extending Bilipschitz Mappings between Separated Nets. https://doi.org/10.54330/afm.181562

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