{"id":"https://openalex.org/W1977804611","doi":"https://doi.org/10.2307/2274922","title":"End-extensions preserving power set","display_name":"End-extensions preserving power set","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W1977804611","doi":"https://doi.org/10.2307/2274922","mag":"1977804611"},"language":"en","primary_location":{"id":"doi:10.2307/2274922","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274922","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/A5006033525","display_name":"Thomas F\u00f6rster","orcid":"https://orcid.org/0000-0002-7711-2276"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Thomas Forster","raw_affiliation_strings":["Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB2 1SB, England","University of Cambridge,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB2 1SB, England","institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210153325"]},{"raw_affiliation_string":"University of Cambridge,","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113039938","display_name":"Richard Kaye","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107427","display_name":"Jesus University","ror":"https://ror.org/01nm0nj94","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210107427"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Richard Kaye","raw_affiliation_strings":["Jesus College, Oxford OX1 3DW, England","Jesus College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jesus College, Oxford OX1 3DW, England","institution_ids":["https://openalex.org/I4210107427"]},{"raw_affiliation_string":"Jesus College","institution_ids":["https://openalex.org/I4210107427"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8339,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.70002311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"56","issue":"1","first_page":"323","last_page":"328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9926999807357788,"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":0.9926999807357788,"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/reduction","display_name":"Reduction (mathematics)","score":0.6750348806381226},{"id":"https://openalex.org/keywords/sharpening","display_name":"Sharpening","score":0.6447222232818604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6380874514579773},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5774737000465393},{"id":"https://openalex.org/keywords/quine","display_name":"Quine","score":0.5759472250938416},{"id":"https://openalex.org/keywords/power-set","display_name":"Power set","score":0.5440965294837952},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.5280535817146301},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5279278755187988},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.510943591594696},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.42059725522994995},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36910632252693176},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36239850521087646},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3551292419433594},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31579264998435974},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2982320487499237},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17463147640228271},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07139521837234497}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6750348806381226},{"id":"https://openalex.org/C2781137444","wikidata":"https://www.wikidata.org/wiki/Q237105","display_name":"Sharpening","level":2,"score":0.6447222232818604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6380874514579773},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5774737000465393},{"id":"https://openalex.org/C9270016","wikidata":"https://www.wikidata.org/wiki/Q1047886","display_name":"Quine","level":2,"score":0.5759472250938416},{"id":"https://openalex.org/C100643331","wikidata":"https://www.wikidata.org/wiki/Q205170","display_name":"Power set","level":3,"score":0.5440965294837952},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.5280535817146301},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5279278755187988},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.510943591594696},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.42059725522994995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36910632252693176},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36239850521087646},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3551292419433594},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31579264998435974},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2982320487499237},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17463147640228271},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07139521837234497},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2274922","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274922","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/1183743569","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183743569","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":6,"referenced_works":["https://openalex.org/W91793361","https://openalex.org/W1976307763","https://openalex.org/W1978258392","https://openalex.org/W1983705661","https://openalex.org/W1991402517","https://openalex.org/W4388295869"],"related_works":["https://openalex.org/W1987792882","https://openalex.org/W4388295869","https://openalex.org/W2126219331","https://openalex.org/W227442115","https://openalex.org/W2098788035","https://openalex.org/W2949825235","https://openalex.org/W4302078726","https://openalex.org/W3151833102","https://openalex.org/W2378801550","https://openalex.org/W2152801202"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"the":[3,38],"quantifier":[4],"hierarchy":[5],"of":[6,28,37,47,50],"Takahashi":[7],"[1972]":[8],"and":[9,44],"show":[10],"how":[11],"it":[12],"gives":[13],"rise":[14],"to":[15,54],"reflection":[16],"theorems":[17],"for":[18,41],"some":[19],"large":[20],"cardinals":[21],"in":[22],"ZF,":[23],"a":[24,32,45],"new":[25,35],"natural":[26],"subtheory":[27],"Zermelo's":[29],"set":[30],"theory,":[31],"potentially":[33],"useful":[34],"reduction":[36,49],"consistency":[39],"problem":[40,52],"Quine's":[42],"NF,":[43],"sharpening":[46],"another":[48],"this":[51],"due":[53],"Boffa.":[55]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
