{"id":"https://openalex.org/W2528948859","doi":"https://doi.org/10.1007/s00153-016-0511-x","title":"Generic Vop\u011bnka\u2019s Principle, remarkable cardinals, and the weak Proper Forcing Axiom","display_name":"Generic Vop\u011bnka\u2019s Principle, remarkable cardinals, and the weak Proper Forcing Axiom","publication_year":2016,"publication_date":"2016-10-07","ids":{"openalex":"https://openalex.org/W2528948859","doi":"https://doi.org/10.1007/s00153-016-0511-x","mag":"2528948859"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-016-0511-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-016-0511-x","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical 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/A5018296270","display_name":"Joan Bagaria","orcid":"https://orcid.org/0000-0002-4686-8222"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]},{"id":"https://openalex.org/I11932220","display_name":"Instituci\u00f3 Catalana de Recerca i Estudis Avan\u00e7ats","ror":"https://ror.org/0371hy230","country_code":"ES","type":"nonprofit","lineage":["https://openalex.org/I11932220"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Joan Bagaria","raw_affiliation_strings":["Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007, Barcelona, Catalonia, Spain","ICREA, Pg. Llu\u00eds Companys 23, 08010, Barcelona, Catalonia, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques i Inform\u00e0tica, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007, Barcelona, Catalonia, Spain","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"ICREA, Pg. Llu\u00eds Companys 23, 08010, Barcelona, Catalonia, Spain","institution_ids":["https://openalex.org/I11932220"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045528799","display_name":"Victoria Gitman","orcid":"https://orcid.org/0000-0002-4754-4350"},"institutions":[{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Victoria Gitman","raw_affiliation_strings":["Mathematics Program, CUNY Graduate Center, The City University of New York, 365 Fifth Avenue, New York, NY, 10016, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Program, CUNY Graduate Center, The City University of New York, 365 Fifth Avenue, New York, NY, 10016, USA","institution_ids":["https://openalex.org/I121847817","https://openalex.org/I174216632"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013788651","display_name":"Ralf Schindler","orcid":"https://orcid.org/0000-0003-0174-8048"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ralf Schindler","raw_affiliation_strings":["Institut f\u00fcr mathematische Logik und Grundlagenforschung, Fachbereich Mathematik und Informatik, Universit\u00e4t M\u00fcnster, Einsteinstrasse 62, 48149, M\u00fcnster, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr mathematische Logik und Grundlagenforschung, Fachbereich Mathematik und Informatik, Universit\u00e4t M\u00fcnster, Einsteinstrasse 62, 48149, M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045528799"],"corresponding_institution_ids":["https://openalex.org/I121847817","https://openalex.org/I174216632"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.587,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.94433033,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"56","issue":"1-2","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991999864578247,"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":0.9991999864578247,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9688000082969666,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.946399986743927,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7982592582702637},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.784169614315033},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.6313872337341309},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5902231931686401},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5413122177124023},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.533510684967041},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.509631872177124},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.49169284105300903},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45002371072769165},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4472646117210388},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.44336482882499695},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.37610161304473877},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.26342469453811646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08522802591323853},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08429399132728577},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08284631371498108}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7982592582702637},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.784169614315033},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.6313872337341309},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5902231931686401},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5413122177124023},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.533510684967041},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.509631872177124},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.49169284105300903},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45002371072769165},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4472646117210388},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.44336482882499695},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.37610161304473877},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.26342469453811646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08522802591323853},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08429399132728577},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08284631371498108},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-016-0511-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-016-0511-x","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G5128091834","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W615346629","https://openalex.org/W1606958038","https://openalex.org/W1947375627","https://openalex.org/W1995860738","https://openalex.org/W2019751722","https://openalex.org/W2031165885","https://openalex.org/W2048739378","https://openalex.org/W2106200555","https://openalex.org/W2143005794","https://openalex.org/W2158946156","https://openalex.org/W2429277243","https://openalex.org/W2577940507","https://openalex.org/W2885386320","https://openalex.org/W3105032509","https://openalex.org/W4206414785","https://openalex.org/W4234476515","https://openalex.org/W4240901689"],"related_works":["https://openalex.org/W2992829260","https://openalex.org/W4287998863","https://openalex.org/W2927651154","https://openalex.org/W3112295066","https://openalex.org/W1574825745","https://openalex.org/W2151251236","https://openalex.org/W2330980320","https://openalex.org/W4210343663","https://openalex.org/W2373903136","https://openalex.org/W2016661762"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}