{"id":"https://openalex.org/W2102473870","doi":"https://doi.org/10.2307/2271778","title":"Canonical Partition Relations","display_name":"Canonical Partition Relations","publication_year":1975,"publication_date":"1975-12-01","ids":{"openalex":"https://openalex.org/W2102473870","doi":"https://doi.org/10.2307/2271778","mag":"2102473870"},"language":"en","primary_location":{"id":"doi:10.2307/2271778","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2271778","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, Hanover, New Hampshire 03755","Dartmouth College Hanover, New Hampshire 03755"],"affiliations":[{"raw_affiliation_string":"Dartmouth College, Hanover, New Hampshire 03755","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Dartmouth College Hanover, New Hampshire 03755","institution_ids":["https://openalex.org/I107672454"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001636447"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":null,"apc_paid":null,"fwci":1.1574,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.81912145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"40","issue":"4","first_page":"541","last_page":"554"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.996999979019165,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.8111250400543213},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7333291172981262},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.7229417562484741},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.630741536617279},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5782220959663391},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4359979033470154},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33882811665534973},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33430182933807373},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05417889356613159}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.8111250400543213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7333291172981262},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7229417562484741},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.630741536617279},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5782220959663391},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4359979033470154},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33882811665534973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33430182933807373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05417889356613159},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2271778","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2271778","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/1183739576","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183739576","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":11,"referenced_works":["https://openalex.org/W307297058","https://openalex.org/W833663682","https://openalex.org/W1480170717","https://openalex.org/W1996516812","https://openalex.org/W2005052843","https://openalex.org/W2026216307","https://openalex.org/W2044949519","https://openalex.org/W2066486518","https://openalex.org/W2095689360","https://openalex.org/W2137126986","https://openalex.org/W4205815734"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W2775700832","https://openalex.org/W3204670144","https://openalex.org/W2077676730","https://openalex.org/W4301452142","https://openalex.org/W2581389238","https://openalex.org/W2735923117","https://openalex.org/W2089427484","https://openalex.org/W2115913661"],"abstract_inverted_index":{"Abstract":[0],"Several":[1],"canonical":[2,19],"partition":[3,20],"theorems":[4],"are":[5,36],"obtained,":[6],"including":[7],"a":[8,29],"simultaneous":[9],"generalization":[10],"of":[11,31],"Neumer's":[12],"lemma":[13],"and":[14,33],"the":[15],"Erd\u00f6s-Rado":[16],"theorem.":[17],"The":[18],"relation":[21],"for":[22],"infinite":[23],"cardinals":[24],"is":[25],"completely":[26],"determined,":[27],"answering":[28],"question":[30],"Erd\u00f6s":[32],"Rado.":[34],"Counterexamples":[35],"given":[37],"showing":[38],"that":[39],"in":[40],"several":[41],"ways":[42],"these":[43],"results":[44],"cannot":[45],"be":[46],"improved.":[47]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}