{"id":"https://openalex.org/W2589862496","doi":"https://doi.org/10.1007/s00153-017-0592-1","title":"Iterated ultrapowers for the masses","display_name":"Iterated ultrapowers for the masses","publication_year":2017,"publication_date":"2017-10-04","ids":{"openalex":"https://openalex.org/W2589862496","doi":"https://doi.org/10.1007/s00153-017-0592-1","mag":"2589862496"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-017-0592-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-017-0592-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-017-0592-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00153-017-0592-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035885312","display_name":"Ali Enayat","orcid":"https://orcid.org/0000-0003-0372-3354"},"institutions":[{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Ali Enayat","raw_affiliation_strings":["Department of Philosophy, Linguistics, and Theory of Science, University of Gothenburg, Box 200, 405 30, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0000-0003-0372-3354","affiliations":[{"raw_affiliation_string":"Department of Philosophy, Linguistics, and Theory of Science, University of Gothenburg, Box 200, 405 30, Gothenburg, Sweden","institution_ids":["https://openalex.org/I881427289"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004178046","display_name":"Matt Kaufmann","orcid":"https://orcid.org/0009-0004-5667-4888"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matt Kaufmann","raw_affiliation_strings":["Department of Computer Science, The University of Texas at Austin, 2317 Speedway, Stop D9500, Austin, TX, 78712-1757, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The University of Texas at Austin, 2317 Speedway, Stop D9500, Austin, TX, 78712-1757, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046351134","display_name":"Zachiri McKenzie","orcid":"https://orcid.org/0000-0003-0807-9561"},"institutions":[{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Zachiri McKenzie","raw_affiliation_strings":["Department of Philosophy, Linguistics, and Theory of Science, University of Gothenburg, Box 200, 405 30, Gothenburg, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy, Linguistics, and Theory of Science, University of Gothenburg, Box 200, 405 30, Gothenburg, Sweden","institution_ids":["https://openalex.org/I881427289"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035885312"],"corresponding_institution_ids":["https://openalex.org/I881427289"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9711,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.87090774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"57","issue":"5-6","first_page":"557","last_page":"576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9973999857902527,"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":0.996399998664856,"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/mathematical-proof","display_name":"Mathematical proof","score":0.8384435176849365},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.8282053470611572},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6671760082244873},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4384233355522156},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4264809191226959},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4195975661277771},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.34843531250953674},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3141047954559326},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06720155477523804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05627438426017761}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8384435176849365},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.8282053470611572},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6671760082244873},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4384233355522156},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4264809191226959},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4195975661277771},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34843531250953674},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3141047954559326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06720155477523804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05627438426017761},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-017-0592-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-017-0592-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-017-0592-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00153-017-0592-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-017-0592-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-017-0592-1.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323421","display_name":"G\u00f6teborgs Universitet","ror":"https://ror.org/01tm6cn81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2589862496.pdf","grobid_xml":"https://content.openalex.org/works/W2589862496.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W2719155","https://openalex.org/W625680999","https://openalex.org/W878043872","https://openalex.org/W1756106495","https://openalex.org/W1965874532","https://openalex.org/W2005410049","https://openalex.org/W2014769261","https://openalex.org/W2028791022","https://openalex.org/W2054770471","https://openalex.org/W2055731527","https://openalex.org/W2105349720","https://openalex.org/W2116350865","https://openalex.org/W2117060314","https://openalex.org/W2117334030","https://openalex.org/W2163900815","https://openalex.org/W2184669491","https://openalex.org/W2220905346","https://openalex.org/W2503199176","https://openalex.org/W2519081061","https://openalex.org/W2598392658","https://openalex.org/W2799061192","https://openalex.org/W2963865880","https://openalex.org/W4230789741","https://openalex.org/W4246257977","https://openalex.org/W4246996372","https://openalex.org/W4247248535","https://openalex.org/W4388290369","https://openalex.org/W6733642422"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W4387820098","https://openalex.org/W1996614773","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W1944769272","https://openalex.org/W4299926736"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,20],"novel,":[3],"perspicuous":[4],"framework":[5,12],"for":[6],"building":[7],"iterated":[8],"ultrapowers.":[9],"Furthermore,":[10],"our":[11],"naturally":[13],"lends":[14],"itself":[15],"to":[16,34],"the":[17],"construction":[18],"of":[19,23,38],"certain":[21],"type":[22],"order":[24],"indiscernibles,":[25],"here":[26],"dubbed":[27],"tight":[28],"indiscernibles":[29],",":[30],"which":[31],"are":[32],"shown":[33],"provide":[35],"smooth":[36],"proofs":[37],"several":[39],"results":[40],"in":[41],"general":[42],"model":[43],"theory.":[44]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}