{"id":"https://openalex.org/W2554529579","doi":"https://doi.org/10.1002/malq.201400049","title":"Ultrahuge cardinals","display_name":"Ultrahuge cardinals","publication_year":2016,"publication_date":"2016-02-01","ids":{"openalex":"https://openalex.org/W2554529579","doi":"https://doi.org/10.1002/malq.201400049","mag":"2554529579"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201400049","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201400049","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5002297502","display_name":"Konstantinos Tsaprounis","orcid":null},"institutions":[{"id":"https://openalex.org/I126158947","display_name":"Universidade Federal da Bahia","ror":"https://ror.org/03k3p7647","country_code":"BR","type":"education","lineage":["https://openalex.org/I126158947"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Konstantinos Tsaprounis","raw_affiliation_strings":["Instituto de Matem\u00e1tica Departamento de Matem\u00e1tica, Universidade Federal da Bahia (UFBa) Av. Adhemar de Barros, S/N 40170\u2013110 Salvador/BA Brazil"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1tica Departamento de Matem\u00e1tica, Universidade Federal da Bahia (UFBa) Av. Adhemar de Barros, S/N 40170\u2013110 Salvador/BA Brazil","institution_ids":["https://openalex.org/I126158947"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002297502"],"corresponding_institution_ids":["https://openalex.org/I126158947"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.571,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.71712159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"62","issue":"1-2","first_page":"77","last_page":"87"},"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9977999925613403,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9940999746322632,"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/mathematics","display_name":"Mathematics","score":0.7396546602249146},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5659505724906921},{"id":"https://openalex.org/keywords/regular-cardinal","display_name":"Regular cardinal","score":0.5345155000686646},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.49211448431015015},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.4853498041629791},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.45403361320495605},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33219826221466064},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.15622401237487793},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0763235092163086},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.06555899977684021},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.04885801672935486},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.04513627290725708}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7396546602249146},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5659505724906921},{"id":"https://openalex.org/C89507440","wikidata":"https://www.wikidata.org/wiki/Q1193137","display_name":"Regular cardinal","level":2,"score":0.5345155000686646},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.49211448431015015},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4853498041629791},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.45403361320495605},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33219826221466064},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.15622401237487793},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0763235092163086},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.06555899977684021},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.04885801672935486},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.04513627290725708},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.201400049","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201400049","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2079039710","display_name":null,"funder_award_id":"A031_\u00a02013\u00a0-\u00a0BJT/CsF","funder_id":"https://openalex.org/F4320323809","funder_display_name":"Minist\u00e9rio da Educa\u00e7\u00e3o"}],"funders":[{"id":"https://openalex.org/F4320323809","display_name":"Minist\u00e9rio da Educa\u00e7\u00e3o","ror":"https://ror.org/04d0xx942"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1642382209","https://openalex.org/W1822738357","https://openalex.org/W2015613735","https://openalex.org/W2019751722","https://openalex.org/W2021954794","https://openalex.org/W2035571970","https://openalex.org/W2067012191","https://openalex.org/W2071474263","https://openalex.org/W2081563668","https://openalex.org/W2086944283","https://openalex.org/W2093527621","https://openalex.org/W2099202455","https://openalex.org/W2318231933","https://openalex.org/W2404194969","https://openalex.org/W2911866879"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2365264209","https://openalex.org/W962203960","https://openalex.org/W2026999166","https://openalex.org/W1996802783","https://openalex.org/W2509431957","https://openalex.org/W4211007821","https://openalex.org/W2802395037","https://openalex.org/W4389565704","https://openalex.org/W1976216854"],"abstract_inverted_index":{"In":[0],"this":[1,22],"note,":[2],"we":[3,42,47],"start":[4],"with":[5],"the":[6,18,49,54,61,72],"notion":[7],"of":[8,51,74],"a":[9,37],"superhuge":[10],"cardinal":[11,40,57],"and":[12],"strengthen":[13],"it":[14],"by":[15],"requiring":[16],"that":[17,65],"elementary":[19],"embeddings":[20],"witnessing":[21],"property":[23],"are,":[24],"in":[25,53,71],"addition,":[26],"sufficiently":[27],"superstrong":[28],"above":[29],"their":[30],"target":[31],".":[32,45],"This":[33],"modification":[34],"leads":[35],"to":[36],"new":[38],"large":[39,56],"which":[41],"call":[43],"ultrahuge":[44,75],"Subsequently,":[46],"study":[48],"placement":[50],"ultrahugeness":[52],"usual":[55],"hierarchy,":[58],"while":[59],"at":[60],"same":[62],"time":[63],"show":[64],"some":[66],"standard":[67],"techniques":[68],"apply":[69],"nicely":[70],"context":[73],"cardinals":[76],"as":[77],"well.":[78]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
