{"id":"https://openalex.org/W2060439942","doi":"https://doi.org/10.2307/2273908","title":"Why Solovay real produces Cohen real","display_name":"Why Solovay real produces Cohen real","publication_year":1986,"publication_date":"1986-12-01","ids":{"openalex":"https://openalex.org/W2060439942","doi":"https://doi.org/10.2307/2273908","mag":"2060439942"},"language":"en","primary_location":{"id":"doi:10.2307/2273908","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273908","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/A5086050031","display_name":"Janusz Pawlikowski","orcid":"https://orcid.org/0000-0003-2022-6608"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Janusz Pawlikowski","raw_affiliation_strings":["Mathematical Institute, University of Wroc\u0142aw, Wroc\u0142aw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Wroc\u0142aw, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086050031"],"corresponding_institution_ids":["https://openalex.org/I219388962"],"apc_list":null,"apc_paid":null,"fwci":2.7546,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.902687,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"51","issue":"4","first_page":"957","last_page":"968"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9993000030517578,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6958537697792053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4534376859664917},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4226030707359314},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16144979000091553},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.053883880376815796}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6958537697792053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4534376859664917},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4226030707359314},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16144979000091553},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.053883880376815796}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2273908","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273908","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/1183742234","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183742234","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1580636728","https://openalex.org/W1969555173","https://openalex.org/W2029749844","https://openalex.org/W2032234063","https://openalex.org/W2033288360","https://openalex.org/W2044117691","https://openalex.org/W2070054678","https://openalex.org/W2123346811","https://openalex.org/W2124548036","https://openalex.org/W2285371954","https://openalex.org/W4243701574","https://openalex.org/W4255866735"],"related_works":["https://openalex.org/W2003635053","https://openalex.org/W2037293272","https://openalex.org/W2011911564","https://openalex.org/W3046795730","https://openalex.org/W2383451196","https://openalex.org/W1973077274","https://openalex.org/W2029537334","https://openalex.org/W2334805302","https://openalex.org/W990556692","https://openalex.org/W2942377347"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"explanation":[2],"is":[3,43,46],"given":[4],"of":[5,13],"why,":[6],"after":[7],"adding":[8],"to":[9],"a":[10,16,22,35,50,55,62,67],"model":[11],"M":[12,28,39],"ZFC":[14],"first":[15],"Solovay":[17,51,68],"real":[18,24,37],"r":[19,30],"and":[20],"next":[21],"Cohen":[23,36,56,63],"c":[25,33,41],",":[26],"in":[27],"[":[29,32,40],"]":[31,34,42],"over":[38],"produced.":[44],"It":[45],"also":[47],"shown":[48],"that":[49],"algebra":[52,57,64],"iterated":[53,65],"with":[54,66],"can":[58],"be":[59],"embedded":[60],"into":[61],"algebra.":[69]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
