Extending bilipschitz mappings between separated nets
Dymond M, Kaluza V. 2026. Extending bilipschitz mappings between separated nets. Annales Fennici Mathematici. 51(1), 237–260.
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Author
Dymond, Michael;
Kaluza, VojtechISTA 
Corresponding author has ISTA affiliation
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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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Publishing Year
Date Published
2026-04-17
Journal Title
Annales Fennici Mathematici
Publisher
Finnish Mathematical Society
Acknowledgement
The present work developed from a research visit of M.D. to V.K. at IST Austria, funded by
a London Mathematical Society Research in Pairs grant. This work was done while V.K. was fully funded by the Austria Science Fund (FWF) [M 3100-N].
Volume
51
Issue
1
Page
237-260
ISSN
eISSN
IST-REx-ID
Cite this
Dymond M, Kaluza V. Extending bilipschitz mappings between separated nets. Annales Fennici Mathematici. 2026;51(1):237-260. doi:10.54330/afm.181562
Dymond, M., & Kaluza, V. (2026). Extending bilipschitz mappings between separated nets. Annales Fennici Mathematici. Finnish Mathematical Society. https://doi.org/10.54330/afm.181562
Dymond, Michael, and Vojtech Kaluza. “Extending Bilipschitz Mappings between Separated Nets.” Annales Fennici Mathematici. Finnish Mathematical Society, 2026. https://doi.org/10.54330/afm.181562.
M. Dymond and V. Kaluza, “Extending bilipschitz mappings between separated nets,” Annales Fennici Mathematici, vol. 51, no. 1. Finnish Mathematical Society, pp. 237–260, 2026.
Dymond M, Kaluza V. 2026. Extending bilipschitz mappings between separated nets. Annales Fennici Mathematici. 51(1), 237–260.
Dymond, Michael, and Vojtech Kaluza. “Extending Bilipschitz Mappings between Separated Nets.” Annales Fennici Mathematici, vol. 51, no. 1, Finnish Mathematical Society, 2026, pp. 237–60, doi:10.54330/afm.181562.
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