{"id":"https://openalex.org/W4405921159","doi":"https://doi.org/10.3390/axioms14010013","title":"On the Uniform Projection Problem in Descriptive Set Theory","display_name":"On the Uniform Projection Problem in Descriptive Set Theory","publication_year":2024,"publication_date":"2024-12-29","ids":{"openalex":"https://openalex.org/W4405921159","doi":"https://doi.org/10.3390/axioms14010013"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14010013","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14010013","pdf_url":"https://www.mdpi.com/2075-1680/14/1/13/pdf?version=1735470377","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/1/13/pdf?version=1735470377","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087847817","display_name":"Vladimir Kanovei","orcid":"https://orcid.org/0000-0001-7415-9784"},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vladimir Kanovei","raw_affiliation_strings":["Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow 127051, Russia"],"raw_orcid":"https://orcid.org/0000-0001-7415-9784","affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow 127051, Russia","institution_ids":["https://openalex.org/I4210107660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076703141","display_name":"Vassily Lyubetsky","orcid":"https://orcid.org/0000-0002-3739-9161"},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vassily Lyubetsky","raw_affiliation_strings":["Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow 127051, Russia"],"raw_orcid":"https://orcid.org/0000-0002-3739-9161","affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow 127051, Russia","institution_ids":["https://openalex.org/I4210107660"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076703141","https://openalex.org/A5087847817"],"corresponding_institution_ids":["https://openalex.org/I4210107660"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34524644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"1","first_page":"13","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9962999820709229,"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":0.9962999820709229,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9886000156402588,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9824000000953674,"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/projection","display_name":"Projection (relational algebra)","score":0.632354199886322},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5470713376998901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4610075354576111},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42777323722839355},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2849600315093994},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06259933114051819}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.632354199886322},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5470713376998901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4610075354576111},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42777323722839355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2849600315093994},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06259933114051819}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14010013","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14010013","pdf_url":"https://www.mdpi.com/2075-1680/14/1/13/pdf?version=1735470377","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a31993e98b4c4eeba5621b9f0998442a","is_oa":true,"landing_page_url":"https://doaj.org/article/a31993e98b4c4eeba5621b9f0998442a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 1, p 13 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14010013","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14010013","pdf_url":"https://www.mdpi.com/2075-1680/14/1/13/pdf?version=1735470377","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G726159403","display_name":null,"funder_award_id":"24\u201044\u201000099","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4405921159.pdf","grobid_xml":"https://content.openalex.org/works/W4405921159.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W135267603","https://openalex.org/W403698140","https://openalex.org/W655855359","https://openalex.org/W830690558","https://openalex.org/W859610148","https://openalex.org/W1487175521","https://openalex.org/W1539382740","https://openalex.org/W1966278898","https://openalex.org/W1981403458","https://openalex.org/W2001897405","https://openalex.org/W2051364095","https://openalex.org/W2058421299","https://openalex.org/W2063040152","https://openalex.org/W2095873474","https://openalex.org/W2501639037","https://openalex.org/W2736954896","https://openalex.org/W2963006286","https://openalex.org/W3100641532","https://openalex.org/W4230059095","https://openalex.org/W4230295967","https://openalex.org/W4300817397","https://openalex.org/W4313240499","https://openalex.org/W4391344400","https://openalex.org/W6633210880","https://openalex.org/W6811543488","https://openalex.org/W6876392145"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"For":[0],"every":[1],"n\u22651,":[2],"generic":[3],"models":[4],"of":[5,12,29,47],"ZFC":[6],"will":[7],"be":[8],"presented":[9],"for":[10],"either":[11],"the":[13,27,45],"following":[14],"two":[15],"sentences:":[16],"1.":[17],"There":[18,36],"exists":[19,37],"a":[20,38],"linear":[21,39],"\u03a3n+21":[22],"set":[23,41],"not":[24,42],"equal":[25,43],"to":[26,44],"projection":[28,46],"any":[30,48],"uniform":[31,49],"planar":[32,50],"\u03a0n+21":[33],"set.":[34,52],"2.":[35],"\u0394n+21":[40],"\u03a0n+11":[51],"Ensuing":[53],"consistency":[54],"and":[55],"independence":[56],"corollaries":[57],"are":[58],"discussed.":[59]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
