{"id":"https://openalex.org/W1994373642","doi":"https://doi.org/10.2178/jsl/1096901759","title":"Lovely pairs of models: the non first order case","display_name":"Lovely pairs of models: the non first order case","publication_year":2004,"publication_date":"2004-09-01","ids":{"openalex":"https://openalex.org/W1994373642","doi":"https://doi.org/10.2178/jsl/1096901759","mag":"1994373642"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1096901759","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1096901759","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":"Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00357704","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003268651","display_name":"Itay Ben-Yaacov","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Itay Ben-Yaacov","raw_affiliation_strings":["University of Wisconsin-Madison, Mathematics Department, 480 Lincoln DR, Madison WI 53706-1388, USA, E-mail:","University of Wisconsin-Madison, Mathematics Department, 480 Lincoln DR, Madison WI 53706-1388, USA, E-mail: pezz@math.mit.edu, URL: http/www-math.mit.edu~pezz"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wisconsin-Madison, Mathematics Department, 480 Lincoln DR, Madison WI 53706-1388, USA, E-mail:","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"University of Wisconsin-Madison, Mathematics Department, 480 Lincoln DR, Madison WI 53706-1388, USA, E-mail: pezz@math.mit.edu, URL: http/www-math.mit.edu~pezz","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003268651"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":1.5598,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.79885517,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"69","issue":"3","first_page":"641","last_page":"662"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9968000054359436,"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":0.9968000054359436,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9314000010490417,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9132000207901001,"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/simple","display_name":"Simple (philosophy)","score":0.8733041286468506},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.7653070688247681},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6410248279571533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.563992977142334},{"id":"https://openalex.org/keywords/first-order","display_name":"First order","score":0.453671932220459},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4167187809944153},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3410550653934479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32031822204589844},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.14861497282981873},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.07007390260696411},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0592215359210968},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.040596455335617065}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.8733041286468506},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.7653070688247681},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6410248279571533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.563992977142334},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.453671932220459},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4167187809944153},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3410550653934479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32031822204589844},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.14861497282981873},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.07007390260696411},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0592215359210968},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.040596455335617065},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2178/jsl/1096901759","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1096901759","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":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.405.6841","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.405.6841","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.archives-ouvertes.fr/docs/00/35/77/04/PDF/nfopairs.pdf","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1096901759","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1096901759","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:HAL:hal-00357704v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00357704","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Journal of Symbolic Logic, 2004, 69 (3), pp.641-662","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00357704v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00357704","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Journal of Symbolic Logic, 2004, 69 (3), pp.641-662","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W141444191","https://openalex.org/W560358004","https://openalex.org/W1984531876","https://openalex.org/W1994531357","https://openalex.org/W2013728166","https://openalex.org/W2047577730","https://openalex.org/W2063936819","https://openalex.org/W2090308603","https://openalex.org/W2152319063","https://openalex.org/W4212846603"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W3125750421","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W2895293004","https://openalex.org/W3200142358","https://openalex.org/W2056778916","https://openalex.org/W2075272012"],"abstract_inverted_index":{"Abstract.":[0],"We":[1],"prove":[2],"that":[3,35],"for":[4,48],"every":[5],"simple":[6,11,55],"theory":[7,22,45],"T":[8,31],"(or":[9],"even":[10],"thick":[12],"compact":[13,20],"abstract":[14,21],"theory)":[15],"there":[16],"is":[17,41,54],"a":[18,42],"(unique)":[19],"whose":[23],"saturated":[24],"models":[25],"are":[26,46],"the":[27,49],"lovely":[28],"pairs":[29],"of":[30],".":[32],"Independence-theoretic":[33],"results":[34],"were":[36],"proved":[37,47],"in":[38,52],"[5]":[39],"when":[40],"first":[43],"order":[44],"general":[50],"case:":[51],"particular":[53],"and":[56],"we":[57],"characterise":[58],"independence.":[59]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
