{"id":"https://openalex.org/W1976408430","doi":"https://doi.org/10.1007/s00153-013-0341-z","title":"On VC-minimal theories and variants","display_name":"On VC-minimal theories and variants","publication_year":2013,"publication_date":"2013-05-27","ids":{"openalex":"https://openalex.org/W1976408430","doi":"https://doi.org/10.1007/s00153-013-0341-z","mag":"1976408430"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-013-0341-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-013-0341-z","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical 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/A5061822430","display_name":"Vincent Guingona","orcid":"https://orcid.org/0000-0003-2301-8716"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vincent Guingona","raw_affiliation_strings":["Department of Mathematics, University of Notre Dame, 255 Hurley, Notre Dame, IN, 46556, USA","Department of Mathematics, University of Notre Dame, Notre Dame, USA 46556#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Notre Dame, 255 Hurley, Notre Dame, IN, 46556, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"Department of Mathematics, University of Notre Dame, Notre Dame, USA 46556#TAB#","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039592270","display_name":"M. Laskowski","orcid":"https://orcid.org/0000-0002-2516-6360"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael C. Laskowski","raw_affiliation_strings":["Department of Mathematics, University of Maryland, College Park, MD, 20742, USA","Department of Mathematics, University of Maryland, College Park, USA 20742#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maryland, College Park, MD, 20742, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Department of Mathematics, University of Maryland, College Park, USA 20742#TAB#","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061822430"],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4125,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.78954748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"52","issue":"7-8","first_page":"743","last_page":"758"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9873999953269958,"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":0.9873999953269958,"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":0.9825999736785889,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.8838157653808594},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6208903789520264},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5787020921707153},{"id":"https://openalex.org/keywords/vc-dimension","display_name":"VC dimension","score":0.5068736672401428},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.5068514943122864},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4902632534503937},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4822326600551605},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4648268520832062},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4270744323730469},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3416069746017456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07958054542541504},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.03749462962150574}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8838157653808594},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6208903789520264},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5787020921707153},{"id":"https://openalex.org/C119322782","wikidata":"https://www.wikidata.org/wiki/Q2662236","display_name":"VC dimension","level":2,"score":0.5068736672401428},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.5068514943122864},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4902632534503937},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4822326600551605},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4648268520832062},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4270744323730469},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3416069746017456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07958054542541504},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.03749462962150574},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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":1,"locations":[{"id":"doi:10.1007/s00153-013-0341-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-013-0341-z","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5699999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1965109334","https://openalex.org/W1975177932","https://openalex.org/W2000738318","https://openalex.org/W2005659848","https://openalex.org/W2021862186","https://openalex.org/W2046907549","https://openalex.org/W2188962096","https://openalex.org/W2592546086","https://openalex.org/W2594908966","https://openalex.org/W3098590070"],"related_works":["https://openalex.org/W1494863055","https://openalex.org/W2153687934","https://openalex.org/W578536148","https://openalex.org/W2399748593","https://openalex.org/W1608010788","https://openalex.org/W2902611420","https://openalex.org/W2608720870","https://openalex.org/W2963241012","https://openalex.org/W4303648909","https://openalex.org/W4321151660"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
