{"id":"https://openalex.org/W2523238017","doi":"https://doi.org/10.1007/s10107-016-1070-y","title":"Sublevel representations of epi-Lipschitz sets and other properties","display_name":"Sublevel representations of epi-Lipschitz sets and other properties","publication_year":2016,"publication_date":"2016-09-21","ids":{"openalex":"https://openalex.org/W2523238017","doi":"https://doi.org/10.1007/s10107-016-1070-y","mag":"2523238017"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-016-1070-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-016-1070-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repositorio.uchile.cl/handle/2250/150509","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071460705","display_name":"Marc-Olivier Czarnecki","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc-Olivier Czarnecki","raw_affiliation_strings":["Institut Montpelli\u00e9rain Alexander Grothendieck, UMR 5149 CNRS, Universit\u00e9 de Montpellier, 34095, Montpellier, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Montpelli\u00e9rain Alexander Grothendieck, UMR 5149 CNRS, Universit\u00e9 de Montpellier, 34095, Montpellier, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19894307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065041515","display_name":"Lionel Thibault","orcid":"https://orcid.org/0000-0002-4172-1301"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL","FR"],"is_corresponding":true,"raw_author_name":"Lionel Thibault","raw_affiliation_strings":["Centro de Modelamiento Matematico, Universidad de Chile, Santiago, Chile","Institut Montpelli\u00e9rain Alexander Grothendieck, UMR 5149 CNRS, Universit\u00e9 de Montpellier, 34095, Montpellier, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Modelamiento Matematico, Universidad de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]},{"raw_affiliation_string":"Institut Montpelli\u00e9rain Alexander Grothendieck, UMR 5149 CNRS, Universit\u00e9 de Montpellier, 34095, Montpellier, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19894307"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065041515"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19894307","https://openalex.org/I69737025"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.3297,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68231537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"168","issue":"1-2","first_page":"555","last_page":"569"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.9625489711761475},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8904720544815063},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.6295748949050903},{"id":"https://openalex.org/keywords/lipschitz-domain","display_name":"Lipschitz domain","score":0.5342024564743042},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5107653141021729},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49101924896240234},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41460463404655457},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3298056125640869},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10167115926742554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0505465567111969}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.9625489711761475},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8904720544815063},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.6295748949050903},{"id":"https://openalex.org/C13474197","wikidata":"https://www.wikidata.org/wiki/Q1158876","display_name":"Lipschitz domain","level":3,"score":0.5342024564743042},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5107653141021729},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49101924896240234},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41460463404655457},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3298056125640869},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10167115926742554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0505465567111969},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-016-1070-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-016-1070-y","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01767924v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01767924","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming, 2018, 168 (1-2), pp.555-569. &#x27E8;10.1007/s10107-016-1070-y&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorio.uchile.cl:2250/150509","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/150509","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming","raw_type":"Art\u00edculo de revista"}],"best_oa_location":{"id":"pmh:oai:repositorio.uchile.cl:2250/150509","is_oa":true,"landing_page_url":"https://repositorio.uchile.cl/handle/2250/150509","pdf_url":null,"source":{"id":"https://openalex.org/S4306481413","display_name":"Universidad de Chile","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming","raw_type":"Art\u00edculo de revista"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1966480644","https://openalex.org/W1993518482","https://openalex.org/W2000985550","https://openalex.org/W2015386597","https://openalex.org/W2022229802","https://openalex.org/W2039295495","https://openalex.org/W2039816150","https://openalex.org/W2063186190","https://openalex.org/W2070470590","https://openalex.org/W2097273628","https://openalex.org/W2110041091","https://openalex.org/W2136361262","https://openalex.org/W2143279738","https://openalex.org/W2529182457","https://openalex.org/W2964280244"],"related_works":["https://openalex.org/W2042906150","https://openalex.org/W3014335474","https://openalex.org/W2499849978","https://openalex.org/W2022300732","https://openalex.org/W2897842840","https://openalex.org/W4293385557","https://openalex.org/W2073281382","https://openalex.org/W4226360335","https://openalex.org/W1642415801","https://openalex.org/W2973109582"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
