Extending bilipschitz mappings between separated nets

Michael Dymond; Vojtěch Kaluža

doi:10.54330/afm.181562

Extending bilipschitz mappings between separated nets

Michael Dymond
, Vojtěch Kaluža

Mathematics

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Pages (from-to)	237-260
Number of pages	24
Journal	Annales Fennici Mathematici
Volume	51
Issue number	1
DOIs	https://doi.org/10.54330/afm.181562
Publication status	Published - 17 Apr 2026

Keywords

bilipschitz
extension
Lipschitz
separated net

ASJC Scopus subject areas

General Mathematics

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Cite this

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KW - Lipschitz

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Extending bilipschitz mappings between separated nets

Abstract

Keywords

ASJC Scopus subject areas

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