{"id":"https://openalex.org/W2118882096","doi":"https://doi.org/10.2178/jsl/1305810755","title":"The Magidor function and diamond","display_name":"The Magidor function and diamond","publication_year":2011,"publication_date":"2011-05-19","ids":{"openalex":"https://openalex.org/W2118882096","doi":"https://doi.org/10.2178/jsl/1305810755","mag":"2118882096"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1305810755","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1305810755","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/A5074031733","display_name":"Pierre Matet","orcid":"https://orcid.org/0000-0002-2563-2560"},"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/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre Matet","raw_affiliation_strings":["Universit\u00e9 de Caen- CNRS, Laboratoire de Mathematiques, BP 5186, 14032 Caen Cedex, France, E-mail:","universit\u00e9 de Caen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Caen- CNRS, Laboratoire de Mathematiques, BP 5186, 14032 Caen Cedex, France, E-mail:","institution_ids":["https://openalex.org/I98702875","https://openalex.org/I4210155549","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"universit\u00e9 de Caen","institution_ids":["https://openalex.org/I98702875"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074031733"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210155549","https://openalex.org/I98702875"],"apc_list":null,"apc_paid":null,"fwci":1.1284,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78015829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"76","issue":"2","first_page":"405","last_page":"417"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9955000281333923,"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/uncountable-set","display_name":"Uncountable set","score":0.9154228568077087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5328593254089355},{"id":"https://openalex.org/keywords/diamond","display_name":"Diamond","score":0.46891602873802185},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4517197608947754},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38934698700904846},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3425971269607544},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.13289090991020203},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.04483833909034729},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.03888297080993652}],"concepts":[{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.9154228568077087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5328593254089355},{"id":"https://openalex.org/C2776921476","wikidata":"https://www.wikidata.org/wiki/Q5283","display_name":"Diamond","level":2,"score":0.46891602873802185},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4517197608947754},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38934698700904846},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3425971269607544},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.13289090991020203},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.04483833909034729},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.03888297080993652},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1305810755","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1305810755","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/1305810755","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1305810755","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":17,"referenced_works":["https://openalex.org/W245808033","https://openalex.org/W992615533","https://openalex.org/W1499898026","https://openalex.org/W1561897446","https://openalex.org/W2025518919","https://openalex.org/W2040463753","https://openalex.org/W2073552968","https://openalex.org/W2074199159","https://openalex.org/W2081899681","https://openalex.org/W2087604785","https://openalex.org/W2138961492","https://openalex.org/W2506466506","https://openalex.org/W2531113317","https://openalex.org/W4212857573","https://openalex.org/W4237640585","https://openalex.org/W4248576990","https://openalex.org/W7027127654"],"related_works":["https://openalex.org/W2100222222","https://openalex.org/W2256572025","https://openalex.org/W1982069151","https://openalex.org/W4303646992","https://openalex.org/W2952146172","https://openalex.org/W4300882518","https://openalex.org/W2018852434","https://openalex.org/W74109373","https://openalex.org/W2963507349","https://openalex.org/W1427302000"],"abstract_inverted_index":{"Abstract":[0],"Let":[1],"\u03ba":[2,15,23,27,51],"be":[3,10],"a":[4,11],"regular":[5],"uncountable":[6],"cardinal":[7,12],"and":[8,53],"\u03bb":[9,29,39,42,48,55],"greater":[13],"than":[14],".":[16],"We":[17],"show":[18],"that":[19],"if":[20,45],"2":[21],"&lt;":[22],"\u2264":[24],"M":[25,36],"(":[26,37,47,54],",":[28,52],"),":[30],"then":[31],"\u25c7":[32],"\u03ba,\u03bb":[33],"holds,":[34],"where":[35],"\u03ba,":[38],")":[40,49,57],"equals":[41],"\u2135":[43,58],"0":[44,59],"cf":[46],"\u2265":[50],"+":[56],"otherwise.":[60]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
