{"id":"https://openalex.org/W2119474170","doi":"https://doi.org/10.2178/jsl/1264433923","title":"An equiconsistency for universal indestructibility","display_name":"An equiconsistency for universal indestructibility","publication_year":2010,"publication_date":"2010-01-25","ids":{"openalex":"https://openalex.org/W2119474170","doi":"https://doi.org/10.2178/jsl/1264433923","mag":"2119474170"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1264433923","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1264433923","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":"The 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/A5066099291","display_name":"Arthur W. Apter","orcid":"https://orcid.org/0000-0002-7091-3628"},"institutions":[{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]},{"id":"https://openalex.org/I141810926","display_name":"Baruch College","ror":"https://ror.org/023qavy03","country_code":"US","type":"education","lineage":["https://openalex.org/I141810926"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arthur W. Apter","raw_affiliation_strings":["Department of Mathematics, Baruch college of CUNY, New York, NY 10010, USA","The CUNY Graduate Center, Mathematics, 365 Fifth Av., New York, NY 10016, USA, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Baruch college of CUNY, New York, NY 10010, USA","institution_ids":["https://openalex.org/I141810926"]},{"raw_affiliation_string":"The CUNY Graduate Center, Mathematics, 365 Fifth Av., New York, NY 10016, USA, E-mail:","institution_ids":["https://openalex.org/I121847817"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055329748","display_name":"Grigor Sargsyan","orcid":"https://orcid.org/0000-0002-6095-1997"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Grigor Sargsyan","raw_affiliation_strings":["Group in Logic and The Methodology of Science, University of California, Berkeley CA 94720, USA, E-mail:","Group in Logic and The Methodology of Science, University of California, Berkeley CA 94720, USA, E-mail: grigor@math.berkeley.edu, URL: http/math.berkeley.edu~grigor"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Group in Logic and The Methodology of Science, University of California, Berkeley CA 94720, USA, E-mail:","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Group in Logic and The Methodology of Science, University of California, Berkeley CA 94720, USA, E-mail: grigor@math.berkeley.edu, URL: http/math.berkeley.edu~grigor","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055329748"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":1.0657,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76439202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"75","issue":"1","first_page":"314","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9797000288963318,"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/consistency","display_name":"Consistency (knowledge bases)","score":0.6482900381088257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5238732695579529},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.42288607358932495},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3358563184738159},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3214510679244995},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3128725290298462}],"concepts":[{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6482900381088257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5238732695579529},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.42288607358932495},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3358563184738159},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3214510679244995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3128725290298462}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1264433923","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1264433923","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":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.559.4403","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.559.4403","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://faculty.baruch.cuny.edu/aapter/papers/aps08.pdf","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1264433923","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1264433923","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1481565952","https://openalex.org/W1608887313","https://openalex.org/W1988153565","https://openalex.org/W1998825076","https://openalex.org/W2036178876","https://openalex.org/W2077466758","https://openalex.org/W2110299942","https://openalex.org/W2318231933","https://openalex.org/W2478289388","https://openalex.org/W3037029260","https://openalex.org/W3037992247","https://openalex.org/W6780444326"],"related_works":["https://openalex.org/W2121543990","https://openalex.org/W2402800040","https://openalex.org/W2000020320","https://openalex.org/W4252969132","https://openalex.org/W1981078319","https://openalex.org/W2008917324","https://openalex.org/W2581541046","https://openalex.org/W4387315838","https://openalex.org/W2805799113","https://openalex.org/W2077709279"],"abstract_inverted_index":{"Abstract":[0],"We":[1,36],"obtain":[2],"an":[3],"equiconsistency":[4,15],"for":[5,12,48],"a":[6,19,26],"weak":[7],"form":[8],"of":[9,32],"universal":[10,46],"indestructibility":[11,47],"strongness.":[13],"The":[14],"is":[16],"relative":[17],"to":[18,45],"cardinal":[20,34],"weaker":[21],"in":[22],"consistency":[23],"strength":[24],"than":[25],"Woodin":[27],"cardinal,":[28],"Stewart":[29],"Baldwin's":[30],"notion":[31],"hyperstrong":[33],".":[35],"also":[37],"briefly":[38],"indicate":[39],"how":[40],"our":[41],"methods":[42],"are":[43],"applicable":[44],"supercompactness":[49],"and":[50],"strong":[51],"compactness.":[52]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
