{"id":"https://openalex.org/W4248883548","doi":"https://doi.org/10.2178/jsl/1102022221","title":"Local homogeneity","display_name":"Local homogeneity","publication_year":2004,"publication_date":"2004-12-01","ids":{"openalex":"https://openalex.org/W4248883548","doi":"https://doi.org/10.2178/jsl/1102022221"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1102022221","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1102022221","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031946027","display_name":"Bektur Baizhanov","orcid":"https://orcid.org/0000-0002-3743-7404"},"institutions":[{"id":"https://openalex.org/I4210092286","display_name":"Institute of Informatics Problems","ror":"https://ror.org/00n8bqs64","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210092286"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Bektur Baizhanov","raw_affiliation_strings":["Institute for Problems of Informaticsand Control, Pushkin Str. 125, Almaty 480100., Kazakhstan, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Problems of Informaticsand Control, Pushkin Str. 125, Almaty 480100., Kazakhstan, E-mail:","institution_ids":["https://openalex.org/I4210092286"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037915949","display_name":"John T. Baldwin","orcid":"https://orcid.org/0000-0002-0185-5196"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John T. Baldwin","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, University of Illinoisat Chicago, 851 S. Morgan Street Chicago, IL 60607, USA, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, University of Illinoisat Chicago, 851 S. Morgan Street Chicago, IL 60607, USA, E-mail:","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.37143548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"69","issue":"4","first_page":"1243","last_page":"1260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9980000257492065,"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":0.9980000257492065,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9818000197410583,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/triviality","display_name":"Triviality","score":0.7361513376235962},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6399017572402954},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5765922665596008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5742737650871277},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.4810226559638977},{"id":"https://openalex.org/keywords/homogeneity","display_name":"Homogeneity (statistics)","score":0.4295195937156677},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42183929681777954},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3568812608718872},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10194793343544006},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06285238265991211}],"concepts":[{"id":"https://openalex.org/C2778795013","wikidata":"https://www.wikidata.org/wiki/Q945127","display_name":"Triviality","level":2,"score":0.7361513376235962},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6399017572402954},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5765922665596008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5742737650871277},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.4810226559638977},{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.4295195937156677},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42183929681777954},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3568812608718872},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10194793343544006},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06285238265991211},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1102022221","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1102022221","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:CULeuclid:euclid.jsl/1102022221","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1102022221","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1026721552","https://openalex.org/W1510181009","https://openalex.org/W1587950877","https://openalex.org/W2003384757","https://openalex.org/W2005659848","https://openalex.org/W2019679730","https://openalex.org/W2084701730","https://openalex.org/W2129678180","https://openalex.org/W4233980873","https://openalex.org/W4298194724"],"related_works":["https://openalex.org/W2070814711","https://openalex.org/W2011957396","https://openalex.org/W2951326186","https://openalex.org/W1965609966","https://openalex.org/W1791476549","https://openalex.org/W2146474977","https://openalex.org/W4252355056","https://openalex.org/W4205223205","https://openalex.org/W1518735593","https://openalex.org/W2008149323"],"abstract_inverted_index":{"Abstract.":[0],"We":[1,66,111],"study":[2],"the":[3,19,25,44,60,76,79,99,108,113,132,137],"expansion":[4,37],"of":[5,16,74,78,115,120,128],"stable":[6],"structures":[7],"by":[8,104],"adding":[9],"predicates":[10],"for":[11,34],"arbitrary":[12,52],"subsets.":[13],"Generalizing":[14],"work":[15],"Poizat-Bouscaren":[17],"on":[18,24,81],"one":[20],"hand":[21],"and":[22,58],"Baldwin-Benedikt-Casanovas-Ziegler":[23],"other":[26],"we":[27,130],"provide":[28],"a":[29,82,89,118,126],"sufficient":[30],"condition":[31],"(Theorem":[32,86,123,143],"4.7)":[33],"such":[35],"an":[36],"to":[38,70,107],"be":[39],"stable.":[40],"This":[41],"generalization":[42,69],"weakens":[43],"original":[45],"definitions":[46],"in":[47,72,98],"two":[48],"ways:":[49],"dealing":[50],"with":[51],"subsets":[53],"rather":[54],"than":[55],"just":[56],"submodels":[57],"removing":[59],"\u2018small\u2019":[61],"or":[62],"\u2018belles":[63],"paires\u2019":[64],"hypothesis.":[65],"use":[67],"this":[68],"characterize":[71,112,131],"terms":[73],"pairs,":[75],"\u2018triviality\u2019":[77],"geometry":[80],"strongly":[83],"minimal":[84],"set":[85,90],"2.5).":[87],"Call":[88],"A":[91,97,142],"benign":[92,116],"if":[93],"any":[94],"type":[95],"over":[96,141],"expanded":[100],"language":[101],"is":[102],"determined":[103],"its":[105],"restriction":[106],"base":[109],"language.":[110],"notion":[114],"as":[117],"kind":[119],"local":[121],"homogenity":[122],"1.7).":[124],"Answering":[125],"question":[127],"[8]":[129],"property":[133,140],"that":[134],"M":[135],"has":[136],"finite":[138],"cover":[139],"3.9).":[144]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2022-05-12T00:00:00"}
