{"id":"https://openalex.org/W2054458498","doi":"https://doi.org/10.2307/2695046","title":"Polarized partition relations","display_name":"Polarized partition relations","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W2054458498","doi":"https://doi.org/10.2307/2695046","mag":"2054458498"},"language":"en","primary_location":{"id":"doi:10.2307/2695046","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2695046","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/A5001636447","display_name":"James E. Baumgartner","orcid":"https://orcid.org/0000-0002-9589-3504"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James E. Baumgartner","raw_affiliation_strings":["Dartmouth College, Department of Mathematics, Hanover, NH 03755, USA, E-mail:","Dartmouth College, Department of Mathematics, Hanover, NH 03755, USA, E-mail: james.baumgartner@dartmouth.edu"],"affiliations":[{"raw_affiliation_string":"Dartmouth College, Department of Mathematics, Hanover, NH 03755, USA, E-mail:","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Dartmouth College, Department of Mathematics, Hanover, NH 03755, USA, E-mail: james.baumgartner@dartmouth.edu","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066167166","display_name":"A. Hajnal","orcid":"https://orcid.org/0000-0001-7297-7134"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I4210109165","display_name":"Environmental and Occupational Health Sciences Institute","ror":"https://ror.org/01vta4r13","country_code":"US","type":"education","lineage":["https://openalex.org/I4210109165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andras Hajnal","raw_affiliation_strings":["Rutgers University, Department of Mathematics, Piscataway, N.J. 08854, USA, E-mail:","Rutgers University, Department of Mathematics, Piscataway, N.J. 08854, USA, E-mail: ahajnal@math.rutgers.edu"],"affiliations":[{"raw_affiliation_string":"Rutgers University, Department of Mathematics, Piscataway, N.J. 08854, USA, E-mail:","institution_ids":["https://openalex.org/I4210109165","https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University, Department of Mathematics, Piscataway, N.J. 08854, USA, E-mail: ahajnal@math.rutgers.edu","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001636447"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":null,"apc_paid":null,"fwci":1.4297,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79605263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"66","issue":"2","first_page":"811","last_page":"821"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9829999804496765,"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/partition","display_name":"Partition (number theory)","score":0.6357689499855042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5075827836990356},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3436993956565857},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3429431915283203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3329620659351349}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6357689499855042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5075827836990356},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3436993956565857},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3429431915283203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3329620659351349}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2695046","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2695046","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/1183746475","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183746475","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":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W100784615","https://openalex.org/W350380147","https://openalex.org/W970851469","https://openalex.org/W985864721","https://openalex.org/W1988358152","https://openalex.org/W2024098812","https://openalex.org/W2027753458","https://openalex.org/W2044949519","https://openalex.org/W2056715322","https://openalex.org/W2064325454","https://openalex.org/W2075073185","https://openalex.org/W2075810781","https://openalex.org/W2083564584","https://openalex.org/W2092096588","https://openalex.org/W2095026520","https://openalex.org/W2136273669","https://openalex.org/W2137126986","https://openalex.org/W2171058405"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049","https://openalex.org/W2271181815"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,14],"shown":[3],"that":[4],"for":[5],"any":[6],"cardinal":[7],"\u03ba":[8,13],",":[9,10],"and":[11],"if":[12],"weakly":[15],"compact":[16],"then":[17],".":[18]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}