{"id":"https://openalex.org/W2098708076","doi":"https://doi.org/10.1007/s11083-011-9226-0","title":"\u03941-completions of a Poset","display_name":"\u03941-completions of a Poset","publication_year":2011,"publication_date":"2011-07-26","ids":{"openalex":"https://openalex.org/W2098708076","doi":"https://doi.org/10.1007/s11083-011-9226-0","mag":"2098708076"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-011-9226-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-011-9226-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-011-9226-0.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11083-011-9226-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028851521","display_name":"Mai Gehrke","orcid":null},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Mai Gehrke","raw_affiliation_strings":["FNWI, IMAPP, Radboud Universiteit Nijmegen, P.O. Box 9010, 6500 GL, Nijmegen, The Netherlands","Radboud universiteit nijmegen"],"affiliations":[{"raw_affiliation_string":"FNWI, IMAPP, Radboud Universiteit Nijmegen, P.O. Box 9010, 6500 GL, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Radboud universiteit nijmegen","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076924750","display_name":"Ram\u00f3n Jansana","orcid":"https://orcid.org/0000-0003-4191-5699"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ramon Jansana","raw_affiliation_strings":["Dept. L\u00f2gica, Hist\u00f2ria i Filosofia, de la Ci\u00e8ncia, Universitat de Barcelona, Montalegre, 6, 08001, Barcelona, Spain","Universitat\u00a0 de Barcelona"],"affiliations":[{"raw_affiliation_string":"Dept. L\u00f2gica, Hist\u00f2ria i Filosofia, de la Ci\u00e8ncia, Universitat de Barcelona, Montalegre, 6, 08001, Barcelona, Spain","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"Universitat\u00a0 de Barcelona","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047149000","display_name":"Alessandra Palmigiano","orcid":"https://orcid.org/0000-0001-9656-7527"},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alessandra Palmigiano","raw_affiliation_strings":["FNWI, ILLC, Universiteit van Amsterdam, P.O. Box 94242, 1090 GE, Amsterdam, The Netherlands","Universiteit van Amsterdam;"],"affiliations":[{"raw_affiliation_string":"FNWI, ILLC, Universiteit van Amsterdam, P.O. Box 94242, 1090 GE, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]},{"raw_affiliation_string":"Universiteit van Amsterdam;","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028851521"],"corresponding_institution_ids":["https://openalex.org/I145872427"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.2925,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.80730824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"30","issue":"1","first_page":"39","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9993000030517578,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9993000030517578,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9970999956130981,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.9732918739318848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8148981332778931},{"id":"https://openalex.org/keywords/joins","display_name":"Joins","score":0.6865454912185669},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6660431623458862},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5799501538276672},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.5445225238800049},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.5274729132652283},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48884671926498413},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4860692322254181},{"id":"https://openalex.org/keywords/linear-extension","display_name":"Linear extension","score":0.45729222893714905},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.41935300827026367},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.41778847575187683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11298161745071411}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.9732918739318848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8148981332778931},{"id":"https://openalex.org/C2778692605","wikidata":"https://www.wikidata.org/wiki/Q4041866","display_name":"Joins","level":2,"score":0.6865454912185669},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6660431623458862},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5799501538276672},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.5445225238800049},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5274729132652283},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48884671926498413},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4860692322254181},{"id":"https://openalex.org/C129393996","wikidata":"https://www.wikidata.org/wiki/Q6553442","display_name":"Linear extension","level":3,"score":0.45729222893714905},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.41935300827026367},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.41778847575187683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11298161745071411},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s11083-011-9226-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-011-9226-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-011-9226-0.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/e2df9b64-e3b8-43cc-ad27-ffc2ac77c86a","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/1completions-of-a-poset(e2df9b64-e3b8-43cc-ad27-ffc2ac77c86a).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Gehrke, M, Jansana, R & Palmigiano, A 2013, '\u0394 1- completions of a poset', Order, vol. 30, no. 1, pp. 39-64. https://doi.org/10.1007/s11083-011-9226-0","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:openaire/e2df9b64-e3b8-43cc-ad27-ffc2ac77c86a","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/1completions-of-a-poset(e2df9b64-e3b8-43cc-ad27-ffc2ac77c86a).html","pdf_url":"https://pure.uva.nl/ws/files/26703750/completions_of_a_poset.pdf","source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Gehrke, M, Jansana, R & Palmigiano, A 2013, '\u0394 1- completions of a poset', Order, vol. 30, no. 1, pp. 39-64. https://doi.org/10.1007/s11083-011-9226-0","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/91470","is_oa":true,"landing_page_url":"https://hdl.handle.net/2066/91470","pdf_url":"http://hdl.handle.net/2066/91470","source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article / Letter to editor"},{"id":"pmh:oai:dare.uva.nl:publications/e2df9b64-e3b8-43cc-ad27-ffc2ac77c86a","is_oa":false,"landing_page_url":"http://dare.uva.nl/personal/pure/en/publications/1completions-of-a-poset(e2df9b64-e3b8-43cc-ad27-ffc2ac77c86a).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/91470","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/91470","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Order-A Journal on the Theory of Ordered Sets and Its Applications, 30, 39 - 64","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:vu:oai:research.vu.nl:publications/1b374c92-fac0-4bec-b8e5-3e3a7e7fb36d","is_oa":true,"landing_page_url":"https://research.vu.nl/en/publications/1b374c92-fac0-4bec-b8e5-3e3a7e7fb36d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Order, 30(1), 39 - 64. Springer Netherlands","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11083-011-9226-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11083-011-9226-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11083-011-9226-0.pdf","source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1783691375","display_name":null,"funder_award_id":"AGAUR","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G4705583873","display_name":null,"funder_award_id":"SGR2005","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G5697743479","display_name":null,"funder_award_id":"MTM2008-01139","funder_id":"https://openalex.org/F4320321505","funder_display_name":"Generalitat de Catalunya"},{"id":"https://openalex.org/G629491556","display_name":null,"funder_award_id":"(NWO)","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321505","display_name":"Generalitat de Catalunya","ror":"https://ror.org/01bg62x04"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320334830","display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca","ror":"https://ror.org/01n4pqe45"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2098708076.pdf","grobid_xml":"https://content.openalex.org/works/W2098708076.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W87906459","https://openalex.org/W1040241987","https://openalex.org/W1496446432","https://openalex.org/W1505771480","https://openalex.org/W1527995180","https://openalex.org/W1972417425","https://openalex.org/W1985583002","https://openalex.org/W1986583380","https://openalex.org/W1992205482","https://openalex.org/W2010047839","https://openalex.org/W2011700761","https://openalex.org/W2018202519","https://openalex.org/W2028286472","https://openalex.org/W2037711229","https://openalex.org/W2048570116","https://openalex.org/W2075776012","https://openalex.org/W2086636341","https://openalex.org/W2093397547","https://openalex.org/W2143440857","https://openalex.org/W2315064349","https://openalex.org/W2610670723","https://openalex.org/W4211144022"],"related_works":["https://openalex.org/W2080736371","https://openalex.org/W1995164207","https://openalex.org/W830403835","https://openalex.org/W2082885462","https://openalex.org/W2150373770","https://openalex.org/W2031824092","https://openalex.org/W899921816","https://openalex.org/W4300720232","https://openalex.org/W1991199948","https://openalex.org/W3025785615"],"abstract_inverted_index":{"A":[0,51],"join-completion":[1],"of":[2,19,32,46,48,53,69,71,73,81,83,101,105,107,113,115,139,144,152,174,185,198],"a":[3,6,15,33,54,57,67,79,102,110,119,137,142,153,178],"poset":[4,34,55,76,154,187],"is":[5,12,26,56,64],"completion":[7,58,158,179],"for":[8,59],"which":[9,128],"each":[10,62],"element":[11,63],"obtainable":[13,65],"as":[14,66,78,147],"supremum,":[16],"or":[17],"join,":[18],"elements":[20,72,84],"from":[21,85],"the":[22,30,40,44,49,74,86,108,116,171,175,182,186,202],"original":[23,75,87],"poset.":[24,50,88],"It":[25],"well":[27],"known":[28],"that":[29,91,180],"join-completions":[31],"are":[35,93],"in":[36,94],"one-to-one":[37,95],"correspondence":[38,96],"with":[39,97],"closure":[41,103,111],"systems":[42],"on":[43],"lattice":[45],"up-sets":[47,114],"\u03941-completion":[52],"which,":[60],"simultaneously,":[61],"join":[68],"meets":[70],"and":[77,118,141,159,163],"meet":[80],"joins":[82],"We":[89],"show":[90],"\u03941-completions":[92,151,199,208],"certain":[98],"triples":[99],"consisting":[100],"system":[104,112],"down-sets":[106],"poset,":[109,117,177],"binary":[120],"relation":[121],"between":[122],"these":[123],"two":[124],"systems.":[125],"Certain":[126],"\u03941-completions,":[127],"we":[129,193],"call":[130],"compact,":[131],"may":[132],"be":[133],"described":[134],"just":[135],"by":[136],"collection":[138,143],"filters":[140],"ideals,":[145],"taken":[146],"parameters.":[148],"The":[149],"compact":[150,207],"include":[155,170],"its":[156,161,165,210],"MacNeille":[157],"all":[160,164],"join-":[162],"meet-completions.":[166],"These":[167],"completions":[168],"also":[169],"canonical":[172,203],"extension":[173,204],"given":[176],"encodes":[181],"topological":[183],"dual":[184],"when":[188],"it":[189],"has":[190],"one.":[191],"Finally,":[192],"use":[194],"our":[195],"parametric":[196],"description":[197],"to":[200,205],"compare":[201],"other":[206],"identifying":[209],"relative":[211],"merits.":[212]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2016-06-24T00:00:00"}
