{"id":"https://openalex.org/W2081632957","doi":"https://doi.org/10.2307/2586540","title":"Two consistency results on set mappings","display_name":"Two consistency results on set mappings","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W2081632957","doi":"https://doi.org/10.2307/2586540","mag":"2081632957"},"language":"en","primary_location":{"id":"doi:10.2307/2586540","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2586540","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":false,"raw_author_name":"P\u00e9ter Komj\u00e1th","raw_affiliation_strings":["Department of Computer Science, E\u00f6tv\u00f6s University, Budapest, R\u00e1k\u00f3czi \u00dat 5, 1088, Hungary, E-mail:","Department of Computer Science, E\u00f6tv\u00f6s University, Budapest, R\u00e1k\u00f3czi \u00dat 5, 1088, Hungary, E-mail: kope@cs.elte.hu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, E\u00f6tv\u00f6s University, Budapest, R\u00e1k\u00f3czi \u00dat 5, 1088, Hungary, E-mail:","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"Department of Computer Science, E\u00f6tv\u00f6s University, Budapest, R\u00e1k\u00f3czi \u00dat 5, 1088, Hungary, E-mail: kope@cs.elte.hu","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024923217","display_name":"Saharon Shelah","orcid":"https://orcid.org/0000-0003-0462-3152"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Saharon Shelah","raw_affiliation_strings":["Institute of Mathematics, The Hebrew University, Jerusalem, Israel, E-mail:","Institute of Mathematics, The Hebrew University, Jerusalem, Israel, E-mail: shelah@math.huji.ac.il"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, Israel, E-mail:","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, Israel, E-mail: shelah@math.huji.ac.il","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.23625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"65","issue":"1","first_page":"333","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9975000023841858,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.996399998664856,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9577000141143799,"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/uncountable-set","display_name":"Uncountable set","score":0.9717780351638794},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.7336177825927734},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.7005264163017273},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6776283979415894},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.6773158311843872},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.6638564467430115},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.6181971430778503},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6151700019836426},{"id":"https://openalex.org/keywords/infinite-set","display_name":"Infinite set","score":0.4927983582019806},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46047747135162354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.204184889793396},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.09687137603759766}],"concepts":[{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.9717780351638794},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.7336177825927734},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.7005264163017273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6776283979415894},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.6773158311843872},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.6638564467430115},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.6181971430778503},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6151700019836426},{"id":"https://openalex.org/C199879729","wikidata":"https://www.wikidata.org/wiki/Q205140","display_name":"Infinite set","level":3,"score":0.4927983582019806},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46047747135162354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.204184889793396},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.09687137603759766},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2307/2586540","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2586540","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/1183746024","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183746024","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.205.3374","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.205.3374","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://shelah.logic.at/files/645.pdf","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":8,"referenced_works":["https://openalex.org/W819630205","https://openalex.org/W877293345","https://openalex.org/W933405741","https://openalex.org/W1415105629","https://openalex.org/W1978068660","https://openalex.org/W1979578534","https://openalex.org/W2004543182","https://openalex.org/W2052855487"],"related_works":["https://openalex.org/W1651031009","https://openalex.org/W3139954723","https://openalex.org/W2480446702","https://openalex.org/W4207036583","https://openalex.org/W2081632957","https://openalex.org/W2790017930","https://openalex.org/W4233354377","https://openalex.org/W4252518165","https://openalex.org/W4213012733","https://openalex.org/W2124290987"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,6,41,45,70,74],"consistent":[3,42,71],"that":[4,43,72],"there":[5,44,73],"a":[7,46,75],"set":[8,47,76],"mapping":[9,48,77],"from":[10,49,78],"the":[11,17,50,56,79],"four-tuples":[12],"of":[13,24,52,81],"\u03c9":[14,39,53,68,82,85],"n":[15,27,33,37,54,66,83,86],"into":[16,55,84],"finite":[18,57],"subsets":[19,23,58],"with":[20,59,87],"no":[21,60,88],"free":[22,62,90],"size":[25],"t":[26,32],"for":[28],"some":[29],"natural":[30],"number":[31],".":[34],"For":[35,64],"any":[36,65],"&lt;":[38,67],"it":[40,69],"pairs":[51,80],"infinite":[61],"sets.":[63,91],"uncountable":[89]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
