{"month":"01","publication_identifier":{"issn":["1331-0623"],"eissn":["1848-8013"]},"quality_controlled":"1","article_type":"original","language":[{"iso":"eng"}],"publication":"Mathematical Communications","oa_version":"Preprint","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2304.11348","open_access":"1"}],"volume":29,"intvolume":"        29","author":[{"full_name":"Dello Schiavo, Lorenzo","first_name":"Lorenzo","last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E"}],"publisher":"Udruga Matematicara Osijek","scopus_import":"1","page":"137-142","_id":"15252","citation":{"chicago":"Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” <i>Mathematical Communications</i>. Udruga Matematicara Osijek, 2024.","short":"L. Dello Schiavo, Mathematical Communications 29 (2024) 137–142.","ista":"Dello Schiavo L. 2024. A characterization of maps of bounded compression. Mathematical Communications. 29(1), 137–142.","ama":"Dello Schiavo L. A characterization of maps of bounded compression. <i>Mathematical Communications</i>. 2024;29(1):137-142.","apa":"Dello Schiavo, L. (2024). A characterization of maps of bounded compression. <i>Mathematical Communications</i>. Udruga Matematicara Osijek.","mla":"Dello Schiavo, Lorenzo. “A Characterization of Maps of Bounded Compression.” <i>Mathematical Communications</i>, vol. 29, no. 1, Udruga Matematicara Osijek, 2024, pp. 137–42.","ieee":"L. Dello Schiavo, “A characterization of maps of bounded compression,” <i>Mathematical Communications</i>, vol. 29, no. 1. Udruga Matematicara Osijek, pp. 137–142, 2024."},"publication_status":"published","title":"A characterization of maps of bounded compression","article_processing_charge":"No","date_updated":"2024-04-02T09:41:31Z","year":"2024","date_published":"2024-01-01T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"01","oa":1,"type":"journal_article","acknowledgement":"The author gratefully acknowledges funding of his current position by the Austrian Science\r\nFund (FWF), grant ESPRIT208. He is grateful to Enrico Pasqualetto for pointing out some\r\nreferences on maps of bounded compression.","status":"public","external_id":{"arxiv":["2304.11348"]},"abstract":[{"text":"A measurable map between measure spaces is shown to have bounded compression if and only if its image via the measure-algebra functor is Lipschitz-continuous w.r.t. the measure-algebra distances. This provides a natural interpretation of maps of bounded compression/deformation by means of the measure-algebra functor and corrobo-rates the assertion that maps of bounded deformation are a natural class of morphisms for the category of complete and separable metric measure spaces.","lang":"eng"}],"issue":"1","department":[{"_id":"JaMa"}],"project":[{"grant_number":"E208","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c","name":"Configuration Spaces over Non-Smooth Spaces"}],"date_created":"2024-03-31T22:01:12Z"}