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Extending bilipschitz mappings between separated nets

delete2026-01-01
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OA
AI
D
Dymond, Michael *
K
Kaluza, Vojtech
DOI:10.54330/afm.181562delete
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Abstract

Abstract

En 中文
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.
Keywords:
Lipschitz
bilipschitz
extension
separated net.

Journal

A
Annales Fennici Mathematici
IF:
1.1
Papers:
13
Citations:
0

Organization

I
institute of science & technology - austria
Scholars:
1.5K
Papers: 1.2K
Citations: 2
U
university of birmingham
Scholars:
5.0K
Papers: 2.4K
Citations: 0