{"id":"https://openalex.org/W2035333140","doi":"https://doi.org/10.1002/malq.19970430115","title":"On Nonstructure of Elementary Submodels of an Unsuperstable Homogeneous Structure","display_name":"On Nonstructure of Elementary Submodels of an Unsuperstable Homogeneous Structure","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2035333140","doi":"https://doi.org/10.1002/malq.19970430115","mag":"2035333140"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19970430115","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430115","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5064743484","display_name":"Tapani Hyttinen","orcid":"https://orcid.org/0000-0002-5125-3839"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Tapani Hyttinen","raw_affiliation_strings":["Department of Mathematics, P.O. Box 4, 00014 University of Helsinki, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, P.O. Box 4, 00014 University of Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064743484"],"corresponding_institution_ids":["https://openalex.org/I133731052"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":1.0793,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73499915,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"43","issue":"1","first_page":"134","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9930999875068665,"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":0.9930999875068665,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9631999731063843,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9617000222206116,"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/mathematics","display_name":"Mathematics","score":0.8715815544128418},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.837733805179596},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.8314696550369263},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7119488716125488},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5258650779724121},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37962496280670166},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2359420359134674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06457546353340149},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05250796675682068}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8715815544128418},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.837733805179596},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.8314696550369263},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7119488716125488},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5258650779724121},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37962496280670166},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2359420359134674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06457546353340149},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05250796675682068},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19970430115","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430115","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2047282968","https://openalex.org/W2053265745","https://openalex.org/W2950141805","https://openalex.org/W4242245385"],"related_works":["https://openalex.org/W2002177687","https://openalex.org/W2058438338","https://openalex.org/W2019471580","https://openalex.org/W2941284322","https://openalex.org/W4224920876","https://openalex.org/W4323715530","https://openalex.org/W2951405238","https://openalex.org/W4367310677","https://openalex.org/W24519920","https://openalex.org/W2087778462"],"abstract_inverted_index":{"Abstract":[0],"In":[1,41],"the":[2,23,42,64],"first":[3],"part":[4,44],"of":[5,25,29,54,66,70],"this":[6],"paper":[7],"we":[8,17,45,58],"let":[9],"M":[10,30,34,48,71],"be":[11],"a":[12,19,60],"stable":[13],"homogeneous":[14,52],"model":[15,53],"and":[16,37,57],"prove":[18,59],"nonstructure":[20,61],"theorem":[21,62],"for":[22,63],"class":[24,65],"all":[26,67],"elementary":[27,68],"submodels":[28,69],",":[31],"assuming":[32],"that":[33,47],"is":[35,49],"\u2018unsuperstable\u2019":[36],"has":[38],"Skolem":[39],"functions.":[40],"second":[43],"assume":[46],"an":[50],"unstable":[51],"large":[55],"cardinality":[56],".":[72]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
