{"id":"https://openalex.org/W2019152175","doi":"https://doi.org/10.2178/jsl.7704030","title":"Definable well-orders of <i>H</i>(<i>\u03c9</i><sub>2</sub>) and GCH","display_name":"Definable well-orders of <i>H</i>(<i>\u03c9</i><sub>2</sub>) and GCH","publication_year":2012,"publication_date":"2012-11-02","ids":{"openalex":"https://openalex.org/W2019152175","doi":"https://doi.org/10.2178/jsl.7704030","mag":"2019152175"},"language":"en","primary_location":{"id":"doi:10.2178/jsl.7704030","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl.7704030","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/A5017293866","display_name":"David Asper\u00f3","orcid":"https://orcid.org/0000-0002-7972-2860"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"David Asper\u00f3","raw_affiliation_strings":["Institute of Discrete Mathematics and Geometry, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8\u201310/104, A-1040 Wien, Austria, E-mail:","Technische Universit\u00e4t, Wien,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Discrete Mathematics and Geometry, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8\u201310/104, A-1040 Wien, Austria, E-mail:","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Technische Universit\u00e4t, Wien,","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009749667","display_name":"Sy\u2010David Friedman","orcid":"https://orcid.org/0000-0001-8460-4394"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Sy-David Friedman","raw_affiliation_strings":["Kurt G\u00f6del Research Center, Universit\u00e4t Wien, W\u00e4hringer Stra\u00dfe 25, A-1090 Wien, Austria, E-mail:","UNIVERSITAT WIEN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kurt G\u00f6del Research Center, Universit\u00e4t Wien, W\u00e4hringer Stra\u00dfe 25, A-1090 Wien, Austria, E-mail:","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"UNIVERSITAT WIEN","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017293866"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":0.8382,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70346258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"77","issue":"4","first_page":"1101","last_page":"1121"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9912999868392944,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9907000064849854,"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/exponentiation","display_name":"Exponentiation","score":0.7921023368835449},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6921417117118835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5868197679519653},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39455926418304443},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10421070456504822},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.031915873289108276}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.7921023368835449},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6921417117118835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5868197679519653},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39455926418304443},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10421070456504822},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.031915873289108276},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl.7704030","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl.7704030","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:CULeuclid:euclid.jsl/1350315578","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1350315578","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:ueaeprints.uea.ac.uk:44055","is_oa":false,"landing_page_url":"https://ueaeprints.uea.ac.uk/id/eprint/44055/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400384","display_name":"UEA Digital Repository (University of East Anglia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1118541","host_organization_name":"University of East Anglia","host_organization_lineage":["https://openalex.org/I1118541"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.6899999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1981694349","https://openalex.org/W2052565449","https://openalex.org/W2080177675","https://openalex.org/W2091615361","https://openalex.org/W2147635529","https://openalex.org/W2174953717","https://openalex.org/W2497873400","https://openalex.org/W3098134592","https://openalex.org/W3103343970","https://openalex.org/W4251570568"],"related_works":["https://openalex.org/W1821857592","https://openalex.org/W2057474768","https://openalex.org/W3082721911","https://openalex.org/W4213010969","https://openalex.org/W3103765022","https://openalex.org/W2119606669","https://openalex.org/W2094893810","https://openalex.org/W4298965518","https://openalex.org/W4300883263","https://openalex.org/W2148968135"],"abstract_inverted_index":{"Abstract":[0],"Assuming":[1],"2":[2,9,14,32],"\u2135":[3,6,10,13],"0":[4],"=":[5,12],"1":[7,11,41],"and":[8,44,49],",":[15],"we":[16],"build":[17],"a":[18,26],"partial":[19],"order":[20],"that":[21,45],"forces":[22],"the":[23],"existence":[24],"of":[25,28],"well-order":[27],"H":[29,38],"(":[30,39],"\u03c9":[31,40],")":[33],"lightface":[34],"definable":[35],"over":[36],"\u27e8":[37],"),":[42],"\u2208\u27e9":[43],"preserves":[46],"cardinal":[47],"exponentiation":[48],"cofinalities.":[50]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-26T08:31:28.666265","created_date":"2016-06-24T00:00:00"}