{"id":"https://openalex.org/W2052855487","doi":"https://doi.org/10.2307/2275484","title":"A set mapping with no infinite free subsets","display_name":"A set mapping with no infinite free subsets","publication_year":1991,"publication_date":"1991-12-01","ids":{"openalex":"https://openalex.org/W2052855487","doi":"https://doi.org/10.2307/2275484","mag":"2052855487"},"language":"en","primary_location":{"id":"doi:10.2307/2275484","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275484","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/A5044179959","display_name":"P\u00e9ter Komj\u00e1th","orcid":"https://orcid.org/0000-0002-2806-6103"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"P. Komj\u00e1th","raw_affiliation_strings":["Department of Computer Science, Lor\u00e1nd E\u00f6tv\u00f6s University, 1088 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Lor\u00e1nd E\u00f6tv\u00f6s University, 1088 Budapest, Hungary","institution_ids":["https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044179959"],"corresponding_institution_ids":["https://openalex.org/I106118109"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.18676698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"56","issue":"4","first_page":"1400","last_page":"1402"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9976000189781189,"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":0.9976000189781189,"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":0.9973999857902527,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/set","display_name":"Set (abstract data type)","score":0.6570404171943665},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5955809950828552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5607725381851196},{"id":"https://openalex.org/keywords/infinite-set","display_name":"Infinite set","score":0.5153588652610779},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4021552503108978},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2954978942871094},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.050272196531295776}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6570404171943665},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5955809950828552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5607725381851196},{"id":"https://openalex.org/C199879729","wikidata":"https://www.wikidata.org/wiki/Q205140","display_name":"Infinite set","level":3,"score":0.5153588652610779},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4021552503108978},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2954978942871094},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.050272196531295776}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2275484","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275484","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/1183743824","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183743824","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":3,"referenced_works":["https://openalex.org/W2002646945","https://openalex.org/W2004543182","https://openalex.org/W2083564584"],"related_works":["https://openalex.org/W1769653975","https://openalex.org/W4250233330","https://openalex.org/W4236391250","https://openalex.org/W2553290232","https://openalex.org/W2922502643","https://openalex.org/W3013502888","https://openalex.org/W372882296","https://openalex.org/W2378801550","https://openalex.org/W3021560513","https://openalex.org/W1878612170"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,38],"consistent":[3],"that":[4,25],"there":[5,37],"exists":[6],"a":[7,48],"set":[8],"mapping":[9],"F":[10,44],":":[11],"[":[12,18],"\u03c9":[13,19,23,34],"2":[14,16,20,35],"]":[15,21],"\u2192":[17],"&lt;":[22,31,33],"such":[24],"F(\u03b1,\u03b2)":[26],"\u2286":[27],"\u03b1":[28,30],"for":[29,43],"\u03b2":[32],"and":[36,53],"no":[39],"infinite":[40],"free":[41],"subset":[42],".":[45],"This":[46],"solves":[47],"problem":[49],"of":[50],"A.":[51,54],"Hajnal":[52],"M\u00e1t\u00e9.":[55]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
