{"id":"https://openalex.org/W2044171754","doi":"https://doi.org/10.1002/malq.19970430316","title":"More on the Least Strongly Compact Cardinal","display_name":"More on the Least Strongly Compact Cardinal","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2044171754","doi":"https://doi.org/10.1002/malq.19970430316","mag":"2044171754"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19970430316","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430316","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/A5066099291","display_name":"Arthur W. Apter","orcid":"https://orcid.org/0000-0002-7091-3628"},"institutions":[{"id":"https://openalex.org/I1290603121","display_name":"World Health Organization - Pakistan","ror":"https://ror.org/047bn1w15","country_code":"PK","type":"government","lineage":["https://openalex.org/I1290603121","https://openalex.org/I4210105654","https://openalex.org/I4210105726"]},{"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":["PK","US"],"is_corresponding":true,"raw_author_name":"Arthur W. Apter","raw_affiliation_strings":["Department of Mathematics, Baruch College of CUNY, New York, New York 10010, U.S.A","The research for this paper was done at the January 7\u201313, 1996 meeting in Set Theory held at the Mathematics Institute in Oberwolfach, Germany. The author wishes to thank the organizers of this meeting for having invited him to participate in an extremely stimulating conference. In addition, the author wishes to thank Dean Alexandra Logue of Baruch College for her generous support of the author's travel expenses"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Baruch College of CUNY, New York, New York 10010, U.S.A","institution_ids":["https://openalex.org/I141810926"]},{"raw_affiliation_string":"The research for this paper was done at the January 7\u201313, 1996 meeting in Set Theory held at the Mathematics Institute in Oberwolfach, Germany. The author wishes to thank the organizers of this meeting for having invited him to participate in an extremely stimulating conference. In addition, the author wishes to thank Dean Alexandra Logue of Baruch College for her generous support of the author's travel expenses","institution_ids":["https://openalex.org/I1290603121"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066099291"],"corresponding_institution_ids":["https://openalex.org/I1290603121","https://openalex.org/I141810926"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":2.1587,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86299507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"3","first_page":"427","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9803000092506409,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9646000266075134,"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":0.9102026224136353},{"id":"https://openalex.org/keywords/regular-cardinal","display_name":"Regular cardinal","score":0.68504399061203},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5204179883003235},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48287156224250793},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2927163243293762}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9102026224136353},{"id":"https://openalex.org/C89507440","wikidata":"https://www.wikidata.org/wiki/Q1193137","display_name":"Regular cardinal","level":2,"score":0.68504399061203},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5204179883003235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48287156224250793},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2927163243293762}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19970430316","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430316","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":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1522767951","https://openalex.org/W1564426727","https://openalex.org/W1964666812","https://openalex.org/W1985752672","https://openalex.org/W2006383870","https://openalex.org/W2043881552","https://openalex.org/W2064841854","https://openalex.org/W2091413704","https://openalex.org/W4238027012","https://openalex.org/W6634029916"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3],"it":[4],"is":[5],"consistent,":[6],"relative":[7],"to":[8,22,30],"a":[9],"supercompact":[10,13],"limit":[11],"of":[12],"cardinals,":[14],"for":[15],"the":[16,25],"least":[17,26],"strongly":[18],"compact":[19],"cardinal":[20,28],"k":[21,34],"be":[23,31],"both":[24],"measurable":[27],"and":[29],"&gt;":[32],"2":[33],"supercompact.":[35]},"counts_by_year":[],"updated_date":"2026-02-24T19:35:01.260952","created_date":"2025-10-10T00:00:00"}
