{"id":"https://openalex.org/W2766275162","doi":"https://doi.org/10.1007/s00153-017-0596-x","title":"Shadows of the axiom of choice in the universe $$L(\\mathbb {R})$$ L ( R )","display_name":"Shadows of the axiom of choice in the universe $$L(\\mathbb {R})$$ L ( R )","publication_year":2017,"publication_date":"2017-10-29","ids":{"openalex":"https://openalex.org/W2766275162","doi":"https://doi.org/10.1007/s00153-017-0596-x","mag":"2766275162"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-017-0596-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-017-0596-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/A5109568021","display_name":"Jan Mycielski","orcid":null},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jan Mycielski","raw_affiliation_strings":["Departament of Mathematics, University of Colorado, Boulder, CO, 80309-0395, USA","Departament of Mathematics, University of Colorado, Boulder, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament of Mathematics, University of Colorado, Boulder, CO, 80309-0395, USA","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Departament of Mathematics, University of Colorado, Boulder, USA","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091465339","display_name":"Grzegorz Tomkowicz","orcid":"https://orcid.org/0000-0002-1069-4240"},"institutions":[{"id":"https://openalex.org/I4210096869","display_name":"Centre of Technology Transfer Emag (Poland)","ror":"https://ror.org/00sxv8m86","country_code":"PL","type":"company","lineage":["https://openalex.org/I4210096869"]},{"id":"https://openalex.org/I4210140291","display_name":"NZOZ Centrum Alergologii","ror":"https://ror.org/03h143w08","country_code":"PL","type":"healthcare","lineage":["https://openalex.org/I4210140291"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Grzegorz Tomkowicz","raw_affiliation_strings":["Centrum Edukacji G\u00b2, ul. Moniuszki 9, 41-902, Bytom, Poland","Centrum Edukacji G\u00b2, Bytom, Poland"],"raw_orcid":"https://orcid.org/0000-0002-1069-4240","affiliations":[{"raw_affiliation_string":"Centrum Edukacji G\u00b2, ul. Moniuszki 9, 41-902, Bytom, Poland","institution_ids":["https://openalex.org/I4210140291"]},{"raw_affiliation_string":"Centrum Edukacji G\u00b2, Bytom, Poland","institution_ids":["https://openalex.org/I4210096869"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091465339"],"corresponding_institution_ids":["https://openalex.org/I4210096869","https://openalex.org/I4210140291"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8643,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.84912382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"57","issue":"5-6","first_page":"607","last_page":"616"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9988999962806702,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.9797999858856201,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9747999906539917,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.9136521220207214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8008231520652771},{"id":"https://openalex.org/keywords/zermelo\u2013fraenkel-set-theory","display_name":"Zermelo\u2013Fraenkel set theory","score":0.6378352642059326},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5994132161140442},{"id":"https://openalex.org/keywords/universe","display_name":"Universe","score":0.5760874152183533},{"id":"https://openalex.org/keywords/urelement","display_name":"Urelement","score":0.42193883657455444},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4131057858467102},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37997519969940186},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3250425159931183},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.2881888151168823},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26919257640838623},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.19884014129638672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1245114803314209},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09103018045425415},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08147218823432922},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.07165795564651489},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.059974461793899536}],"concepts":[{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.9136521220207214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8008231520652771},{"id":"https://openalex.org/C51460","wikidata":"https://www.wikidata.org/wiki/Q191849","display_name":"Zermelo\u2013Fraenkel set theory","level":5,"score":0.6378352642059326},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5994132161140442},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.5760874152183533},{"id":"https://openalex.org/C78550038","wikidata":"https://www.wikidata.org/wiki/Q1896657","display_name":"Urelement","level":5,"score":0.42193883657455444},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4131057858467102},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37997519969940186},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3250425159931183},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2881888151168823},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26919257640838623},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.19884014129638672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1245114803314209},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09103018045425415},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08147218823432922},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.07165795564651489},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.059974461793899536}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-017-0596-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-017-0596-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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W347432416","https://openalex.org/W979357308","https://openalex.org/W1029956708","https://openalex.org/W1498144540","https://openalex.org/W1523058355","https://openalex.org/W1554691866","https://openalex.org/W1727378695","https://openalex.org/W2000138771","https://openalex.org/W2037687794","https://openalex.org/W2070631692","https://openalex.org/W2090776581","https://openalex.org/W2169176158","https://openalex.org/W2297908936","https://openalex.org/W2478289388","https://openalex.org/W2508270892","https://openalex.org/W2531495256","https://openalex.org/W2535876752","https://openalex.org/W2572301780","https://openalex.org/W4239333356"],"related_works":["https://openalex.org/W2031083694","https://openalex.org/W1574825745","https://openalex.org/W288388583","https://openalex.org/W3034881686","https://openalex.org/W423103167","https://openalex.org/W2350176099","https://openalex.org/W2979076867","https://openalex.org/W4233243512","https://openalex.org/W2373903136","https://openalex.org/W4210343663"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
