{"id":"https://openalex.org/W2513337872","doi":"https://doi.org/10.1007/s00153-016-0499-2","title":"Mathias forcing and ultrafilters","display_name":"Mathias forcing and ultrafilters","publication_year":2016,"publication_date":"2016-08-12","ids":{"openalex":"https://openalex.org/W2513337872","doi":"https://doi.org/10.1007/s00153-016-0499-2","mag":"2513337872"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-016-0499-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-016-0499-2","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":"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://doi.org/10.1007/s00153-016-0499-2","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086050031","display_name":"Janusz Pawlikowski","orcid":"https://orcid.org/0000-0003-2022-6608"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Janusz Pawlikowski","raw_affiliation_strings":["Department of Mathematics, University of Wroc\u0142aw, 50-384, Wroc\u0142aw, Poland"],"raw_orcid":"https://orcid.org/0000-0003-2022-6608","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wroc\u0142aw, 50-384, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066773133","display_name":"Wojciech Stadnicki","orcid":null},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Wojciech Stadnicki","raw_affiliation_strings":["Department of Mathematics, University of Wroc\u0142aw, 50-384, Wroc\u0142aw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wroc\u0142aw, 50-384, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086050031"],"corresponding_institution_ids":["https://openalex.org/I219388962"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11658342,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"55","issue":"7-8","first_page":"857","last_page":"865"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.17339999973773956,"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":0.17339999973773956,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.16840000450611115,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.1573999971151352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.9047111868858337},{"id":"https://openalex.org/keywords/ultrafilter","display_name":"Ultrafilter","score":0.8554857969284058},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.785057008266449},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6976109147071838},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.598835825920105},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5053194165229797},{"id":"https://openalex.org/keywords/regular-cardinal","display_name":"Regular cardinal","score":0.4834926426410675},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.41835737228393555},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3348260223865509},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0850328803062439},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06810006499290466},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05806005001068115}],"concepts":[{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.9047111868858337},{"id":"https://openalex.org/C87598191","wikidata":"https://www.wikidata.org/wiki/Q1571831","display_name":"Ultrafilter","level":2,"score":0.8554857969284058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.785057008266449},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6976109147071838},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.598835825920105},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5053194165229797},{"id":"https://openalex.org/C89507440","wikidata":"https://www.wikidata.org/wiki/Q1193137","display_name":"Regular cardinal","level":2,"score":0.4834926426410675},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41835737228393555},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3348260223865509},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0850328803062439},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06810006499290466},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05806005001068115},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-016-0499-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-016-0499-2","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":"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/s00153-016-0499-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-016-0499-2","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":"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":[{"id":"https://metadata.un.org/sdg/13","score":0.7599999904632568,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2180030648"],"related_works":["https://openalex.org/W4385781459","https://openalex.org/W4234572961","https://openalex.org/W2167408243","https://openalex.org/W2748449745","https://openalex.org/W2976033625","https://openalex.org/W2045262568","https://openalex.org/W1497850839","https://openalex.org/W3015674040","https://openalex.org/W3200176881","https://openalex.org/W4286971162"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2],"if":[3],"the":[4,13,32,40],"Mathias":[5,41],"forcing":[6,11],"is":[7,24],"followed":[8],"by":[9,39],"a":[10,27,45],"with":[12],"Laver":[14],"Property,":[15],"then":[16],"any":[17],"$$\\mathsf":[18,21,34],"{V}$$":[19,35],"-":[20],"{q}$$":[22],"-point":[23],"isomorphic":[25],"via":[26],"ground":[28],"model":[29],"bijection":[30],"to":[31],"canonical":[33],"-Ramsey":[36],"ultrafilter":[37],"added":[38],"real.":[42],"This":[43],"improves":[44],"result":[46],"of":[47],"Shelah":[48],"and":[49],"Spinas":[50],"(Trans":[51],"AMS":[52],"325:2023\u20132047,":[53],"1999).":[54]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
