[{"scopus_import":"1","_id":"21766","intvolume":"        51","oa_version":"Published Version","article_type":"original","type":"journal_article","acknowledgement":"The present work developed from a research visit of M.D. to V.K. at IST Austria, funded by\r\na 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].","date_published":"2026-04-17T00:00:00Z","language":[{"iso":"eng"}],"month":"04","date_updated":"2026-04-28T12:06:00Z","department":[{"_id":"UlWa"}],"arxiv":1,"publisher":"Finnish Mathematical Society","file_date_updated":"2026-04-28T12:03:13Z","oa":1,"status":"public","day":"17","tmp":{"short":"CC BY-NC (4.0)","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","image":"/images/cc_by_nc.png","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode"},"OA_type":"hybrid","citation":{"apa":"Dymond, M., &#38; Kaluza, V. (2026). Extending bilipschitz mappings between separated nets. <i>Annales Fennici Mathematici</i>. Finnish Mathematical Society. <a href=\"https://doi.org/10.54330/afm.181562\">https://doi.org/10.54330/afm.181562</a>","chicago":"Dymond, Michael, and Vojtech Kaluza. “Extending Bilipschitz Mappings between Separated Nets.” <i>Annales Fennici Mathematici</i>. Finnish Mathematical Society, 2026. <a href=\"https://doi.org/10.54330/afm.181562\">https://doi.org/10.54330/afm.181562</a>.","mla":"Dymond, Michael, and Vojtech Kaluza. “Extending Bilipschitz Mappings between Separated Nets.” <i>Annales Fennici Mathematici</i>, vol. 51, no. 1, Finnish Mathematical Society, 2026, pp. 237–60, doi:<a href=\"https://doi.org/10.54330/afm.181562\">10.54330/afm.181562</a>.","short":"M. Dymond, V. Kaluza, Annales Fennici Mathematici 51 (2026) 237–260.","ieee":"M. Dymond and V. Kaluza, “Extending bilipschitz mappings between separated nets,” <i>Annales Fennici Mathematici</i>, vol. 51, no. 1. Finnish Mathematical Society, pp. 237–260, 2026.","ama":"Dymond M, Kaluza V. Extending bilipschitz mappings between separated nets. <i>Annales Fennici Mathematici</i>. 2026;51(1):237-260. doi:<a href=\"https://doi.org/10.54330/afm.181562\">10.54330/afm.181562</a>","ista":"Dymond M, Kaluza V. 2026. Extending bilipschitz mappings between separated nets. Annales Fennici Mathematici. 51(1), 237–260."},"project":[{"name":"Spectra and topology of graphs and of simplicial complexes","grant_number":"M03100","_id":"fc35eaa2-9c52-11eb-aca3-88501ab155e9"}],"author":[{"first_name":"Michael","last_name":"Dymond","full_name":"Dymond, Michael"},{"last_name":"Kaluza","first_name":"Vojtech","orcid":"0000-0002-2512-8698","id":"21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E","full_name":"Kaluza, Vojtech"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","OA_place":"publisher","volume":51,"keyword":["Lipschitz","bilipschitz","extension","separated net."],"title":"Extending bilipschitz mappings between separated nets","article_processing_charge":"Yes (in subscription journal)","license":"https://creativecommons.org/licenses/by-nc/4.0/","page":"237-260","publication_status":"published","external_id":{"arxiv":["2507.22007"]},"abstract":[{"text":"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.","lang":"eng"}],"publication_identifier":{"eissn":["2737-114X"],"issn":["2737-0690"]},"doi":"10.54330/afm.181562","issue":"1","publication":"Annales Fennici Mathematici","date_created":"2026-04-26T22:01:47Z","year":"2026","has_accepted_license":"1","ddc":["510"],"corr_author":"1","file":[{"file_id":"21772","access_level":"open_access","checksum":"442023926a3803d5d6ca8db8dbc4af1c","relation":"main_file","file_size":342082,"date_updated":"2026-04-28T12:03:13Z","date_created":"2026-04-28T12:03:13Z","file_name":"2026_AnnalesFenniciMath_Dymond.pdf","content_type":"application/pdf","success":1,"creator":"dernst"}],"quality_controlled":"1"}]