{"id":"https://openalex.org/W1510434119","doi":"https://doi.org/10.2307/2274667","title":"Full reflection of stationary sets below \u2135<sub><i>\u03c9</i></sub>","display_name":"Full reflection of stationary sets below \u2135<sub><i>\u03c9</i></sub>","publication_year":1990,"publication_date":"1990-06-01","ids":{"openalex":"https://openalex.org/W1510434119","doi":"https://doi.org/10.2307/2274667","mag":"1510434119"},"language":"en","primary_location":{"id":"doi:10.2307/2274667","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274667","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/A5079801056","display_name":"Thomas Jech","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Jech","raw_affiliation_strings":["Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802","Department of Mathematics, the Pennsylvania State University, University Park, Pennsylvania 16802"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Department of Mathematics, the Pennsylvania State University, University Park, Pennsylvania 16802","institution_ids":["https://openalex.org/I130769515"]}]},{"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","Institute of Mathematics, The Hebrew University, Jerusalem, Israel#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University, Jerusalem, Israel#TAB#","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":0.7528,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.70763014,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"2","first_page":"822","last_page":"830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.944599986076355,"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":0.944599986076355,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cofinality","display_name":"Cofinality","score":0.9987872838973999},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.7442330718040466},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6297072172164917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.592121958732605},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4392671585083008},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3759970963001251},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26018163561820984},{"id":"https://openalex.org/keywords/uncountable-set","display_name":"Uncountable set","score":0.20131194591522217},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.06738293170928955},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.04098060727119446}],"concepts":[{"id":"https://openalex.org/C148070024","wikidata":"https://www.wikidata.org/wiki/Q1283623","display_name":"Cofinality","level":4,"score":0.9987872838973999},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.7442330718040466},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6297072172164917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.592121958732605},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4392671585083008},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3759970963001251},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26018163561820984},{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.20131194591522217},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.06738293170928955},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.04098060727119446}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2307/2274667","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274667","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1969194502","https://openalex.org/W2007936948","https://openalex.org/W2531113317","https://openalex.org/W4255644245"],"related_works":["https://openalex.org/W2086550661","https://openalex.org/W1991118952","https://openalex.org/W2157535554","https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W3213946240","https://openalex.org/W2976797620","https://openalex.org/W1510434119","https://openalex.org/W2054315527"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,53],"consistent":[3],"that,":[4],"for":[5],"every":[6,10],"n":[7,15,31,44],"\u2265":[8],"2,":[9],"stationary":[11],"subset":[12],"of":[13,17,19,39,41],"\u03c9":[14,21,43],"consisting":[16],"ordinals":[18,40],"cofinality":[20,42],"\u03ba":[22,25,29],",":[23],"where":[24],"=":[26],"0":[27],"or":[28],"\u2264":[30],"\u2212":[32],"3,":[33],"reflects":[34],"fully":[35],"in":[36],"the":[37],"set":[38],"\u22121":[45],".":[46],"We":[47],"also":[48],"show":[49],"that":[50],"this":[51],"result":[52],"best":[54],"possible.":[55]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}