{"id":"https://openalex.org/W2099898495","doi":"https://doi.org/10.2178/jsl/1278682204","title":"First order properties on nowhere dense structures","display_name":"First order properties on nowhere dense structures","publication_year":2010,"publication_date":"2010-07-09","ids":{"openalex":"https://openalex.org/W2099898495","doi":"https://doi.org/10.2178/jsl/1278682204","mag":"2099898495"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1278682204","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1278682204","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070558406","display_name":"Jaroslav Ne\u0161et\u0159il","orcid":"https://orcid.org/0000-0002-5133-5586"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jaroslav Ne\u0161et\u0159il","raw_affiliation_strings":["Department of Applied Mathematics and Institute of Theoretical Computer Science (ITI), Charles University, Malostransk\u00e9 N\u00e1m.25, 11800 Praha 1, Czech Republic. E-mail:","Charles University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Institute of Theoretical Computer Science (ITI), Charles University, Malostransk\u00e9 N\u00e1m.25, 11800 Praha 1, Czech Republic. E-mail:","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Charles University,","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004397700","display_name":"Patrice Ossona de Mendez","orcid":"https://orcid.org/0000-0003-0724-3729"},"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/I4210100624","display_name":"Centre d'Analyse et de Math\u00e9matique Sociales","ror":"https://ror.org/00vb8fc53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210100624","https://openalex.org/I4210150854","https://openalex.org/I90669466"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrice Ossona de Mendez","raw_affiliation_strings":["Centre d'Analyse et de Math\u00e9matiques Sociales CNRS, UMR 8557, 54 BD Raspail, 75006 Paris, France. E-mail:","Centre d'Analyse et de Math\u00e9matique sociales"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre d'Analyse et de Math\u00e9matiques Sociales CNRS, UMR 8557, 54 BD Raspail, 75006 Paris, France. E-mail:","institution_ids":["https://openalex.org/I4210100624","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre d'Analyse et de Math\u00e9matique sociales","institution_ids":["https://openalex.org/I4210100624"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.8683,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.95546075,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"75","issue":"3","first_page":"868","last_page":"887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.8017032146453857},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.739743709564209},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7337619662284851},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5301802158355713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5267944931983948},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.5240098237991333},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5026824474334717},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4818057417869568},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4659850001335144},{"id":"https://openalex.org/keywords/nowhere-dense-set","display_name":"Nowhere dense set","score":0.44547325372695923},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.24050745368003845},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12765443325042725}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.8017032146453857},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.739743709564209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7337619662284851},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5301802158355713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5267944931983948},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.5240098237991333},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5026824474334717},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4818057417869568},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4659850001335144},{"id":"https://openalex.org/C17327563","wikidata":"https://www.wikidata.org/wiki/Q1991405","display_name":"Nowhere dense set","level":3,"score":0.44547325372695923},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.24050745368003845},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12765443325042725},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.2178/jsl/1278682204","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1278682204","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1278682204","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1278682204","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.141.4974","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.4974","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://kam.mff.cuni.cz/~kamserie/serie/clanky/2008/s865.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.143.1224","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.1224","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://iti.mff.cuni.cz/series/files/iti387.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00656791v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00656791","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":"The Journal of Symbolic Logic, 2010, 75 (3), pp.868-887. &#x27E8;10.2178/jsl/1278682204&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W43155751","https://openalex.org/W624666305","https://openalex.org/W655258421","https://openalex.org/W1026721552","https://openalex.org/W1482193060","https://openalex.org/W1489366126","https://openalex.org/W1538714536","https://openalex.org/W1556286805","https://openalex.org/W1562988890","https://openalex.org/W1570907360","https://openalex.org/W1844376523","https://openalex.org/W1972122408","https://openalex.org/W1978747958","https://openalex.org/W1986537785","https://openalex.org/W1990326418","https://openalex.org/W1994264784","https://openalex.org/W1996858528","https://openalex.org/W2001521450","https://openalex.org/W2018615281","https://openalex.org/W2028357390","https://openalex.org/W2035165468","https://openalex.org/W2049229625","https://openalex.org/W2050489064","https://openalex.org/W2055686117","https://openalex.org/W2063168938","https://openalex.org/W2068312052","https://openalex.org/W2075921069","https://openalex.org/W2082035816","https://openalex.org/W2118815975","https://openalex.org/W2119567838","https://openalex.org/W2120013083","https://openalex.org/W2124442576","https://openalex.org/W2130475037","https://openalex.org/W2149284317","https://openalex.org/W2149573503","https://openalex.org/W2285002042","https://openalex.org/W2487010550","https://openalex.org/W3009862127"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W2013770701","https://openalex.org/W3013941779","https://openalex.org/W4288099731","https://openalex.org/W4221147332","https://openalex.org/W2990092783","https://openalex.org/W1878187357","https://openalex.org/W47340958","https://openalex.org/W1995725667"],"abstract_inverted_index":{"Abstract":[0],"A":[1,3,25,30,40],"set":[2],"of":[4,6,21,24,39,53,71,78,92,99,112,120,180,200,216],"vertices":[5,23,38],"a":[7,65,195,209,230,244,249],"graph":[8],"G":[9,15],"is":[10,31,248],"called":[11],"d":[12,19,32],"-scattered":[13,33],"in":[14,50,68,86,204,219],"if":[16,34],"no":[17,35],"two":[18,36],"-neighborhoods":[20],"(distinct)":[22],"intersect.":[26],"In":[27,132],"other":[28],"words,":[29],"distinct":[37],"have":[41],"distance":[42],"at":[43],"most":[44],"2d.":[45],"This":[46,85,162,212],"notion":[47],"was":[48],"isolated":[49],"the":[51,69,90,167,181,220],"context":[52],"finite":[54,227],"model":[55],"theory":[56],"by":[57],"Ajtai":[58],"and":[59,61,96,110,123,144,152,176,189],"Gurevich":[60],"recently":[62],"it":[63,171],"played":[64],"prominent":[66],"role":[67],"study":[70],"homomorphism":[72,126,236],"preservation":[73,127],"theorems":[74],"for":[75,130,178,198],"special":[76],"classes":[77,98,109,111,122,140,147,158,192,202,215],"structures":[79],"(such":[80],"as":[81,203],"minor":[82,107],"closed":[83,108,237],"classes).":[84],"turn":[87],"led":[88],"to":[89,243],"notions":[91],"wide,":[93],"almost":[94],"wide":[95],"quasi-wide":[97],"graphs.":[100],"It":[101,184],"has":[102],"been":[103],"proved":[104],"previously":[105],"that":[106,137,186,234],"graphs":[113],"with":[114,141,148],"locally":[115],"forbidden":[116],"minors":[117],"are":[118,159,193],"examples":[119],"such":[121],"thus":[124],"(relativized)":[125],"theorem":[128],"holds":[129],"them.":[131],"this":[133],"paper":[134],"we":[135,207,232],"show":[136],"(more":[138],"general)":[139,155],"bounded":[142,149,187,217,245],"expansion":[143,151,188,218,246],"(newly":[145],"defined)":[146],"local":[150],"even":[153],"(very":[154],"nowhere":[156,190],"dense":[157,191],"quasi":[160],"wide.":[161],"not":[163],"only":[164],"strictly":[165],"generalizes":[166],"previous":[168],"results":[169],"but":[170],"also":[172,213],"provides":[173],"new":[174,221],"proofs":[175],"algorithms":[177],"some":[179],"old":[182],"results.":[183],"appears":[185],"perhaps":[194],"proper":[196],"setting":[197],"investigation":[199],"wide-type":[201],"several":[205],"instances":[206],"obtain":[208,233],"structural":[210],"characterization.":[211],"puts":[214],"context.":[222],"Our":[223],"motivation":[224],"stems":[225],"from":[226],"dualities.":[228],"As":[229],"corollary":[231],"any":[235],"first":[238],"order":[239],"definable":[240],"property":[241],"restricted":[242,250],"class":[247],"duality.":[251]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
