{"id":"https://openalex.org/W1560404246","doi":"https://doi.org/10.2178/jsl/1230396744","title":"Weak square bracket relations for<i>P</i><sub>\u03ba</sub>(\u03bb)","display_name":"Weak square bracket relations for<i>P</i><sub>\u03ba</sub>(\u03bb)","publication_year":2008,"publication_date":"2008-09-01","ids":{"openalex":"https://openalex.org/W1560404246","doi":"https://doi.org/10.2178/jsl/1230396744","mag":"1560404246"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1230396744","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1230396744","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/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/I3019441195","display_name":"Laboratoire de Math\u00e9matiques d'Orsay","ror":"https://ror.org/03ab0zs98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I3019441195"]},{"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":["Universite de Caen \u2013CNRS, Laboratorie de Mathematiques, BP 5186, 14032 Caen Cedex, France, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universite de Caen \u2013CNRS, Laboratorie de Mathematiques, BP 5186, 14032 Caen Cedex, France, E-mail:","institution_ids":["https://openalex.org/I3019441195","https://openalex.org/I98702875","https://openalex.org/I1294671590"]}]}],"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/I3019441195","https://openalex.org/I98702875"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.04784806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"73","issue":"3","first_page":"729","last_page":"751"},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9947999715805054,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9939000010490417,"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":0.8811368942260742},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.7934528589248657},{"id":"https://openalex.org/keywords/bracket","display_name":"Bracket","score":0.6316209435462952},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.628000020980835},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6227205991744995},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5851717591285706},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4003305435180664},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3366566300392151},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32756727933883667},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19569239020347595},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1626528799533844},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07763609290122986},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.06562924385070801},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.043712615966796875},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.03791767358779907}],"concepts":[{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.8811368942260742},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.7934528589248657},{"id":"https://openalex.org/C133769200","wikidata":"https://www.wikidata.org/wiki/Q174565","display_name":"Bracket","level":2,"score":0.6316209435462952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.628000020980835},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6227205991744995},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5851717591285706},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4003305435180664},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3366566300392151},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32756727933883667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19569239020347595},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1626528799533844},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07763609290122986},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.06562924385070801},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.043712615966796875},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.03791767358779907}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1230396744","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1230396744","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/1230396744","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1230396744","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":[{"display_name":"Reduced inequalities","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W224226065","https://openalex.org/W1484153762","https://openalex.org/W1784944400","https://openalex.org/W1965874532","https://openalex.org/W1981154291","https://openalex.org/W1996649843","https://openalex.org/W1998825076","https://openalex.org/W2009005876","https://openalex.org/W2009574656","https://openalex.org/W2035296037","https://openalex.org/W2044949519","https://openalex.org/W2046051057","https://openalex.org/W2047967114","https://openalex.org/W2054276571","https://openalex.org/W2058498852","https://openalex.org/W2065313043","https://openalex.org/W2087518766","https://openalex.org/W2088037688","https://openalex.org/W2094915146","https://openalex.org/W2119093639","https://openalex.org/W2122092051","https://openalex.org/W2134090743","https://openalex.org/W2151715640","https://openalex.org/W2463659068","https://openalex.org/W2551720480","https://openalex.org/W2592205628","https://openalex.org/W4237640585","https://openalex.org/W4388284830"],"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/W2027425357","https://openalex.org/W2388965973"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2],"the":[3,11],"partition":[4,13],"relation":[5,14],"that":[6,20],"is":[7,23],"a":[8],"weakening":[9],"of":[10],"usual":[12],".":[15],"Our":[16],"main":[17],"result":[18],"asserts":[19],"if":[21],"\u03ba":[22],"an":[24],"uncountable":[25],"strongly":[26],"compact":[27],"cardinal":[28],"and":[29],",":[30],"then":[31],"does":[32],"not":[33],"hold.":[34]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}
