{"id":"https://openalex.org/W2168287010","doi":"https://doi.org/10.2178/jsl/1231082301","title":"Borel-amenable reducibilities for sets of reals","display_name":"Borel-amenable reducibilities for sets of reals","publication_year":2009,"publication_date":"2009-01-04","ids":{"openalex":"https://openalex.org/W2168287010","doi":"https://doi.org/10.2178/jsl/1231082301","mag":"2168287010"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1231082301","is_oa":true,"landing_page_url":"https://doi.org/10.2178/jsl/1231082301","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0C94BDC56FC598ABBFDFF80C846DF997/S0022481200003716a.pdf/div-class-title-borel-amenable-reducibilities-for-sets-of-reals-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0C94BDC56FC598ABBFDFF80C846DF997/S0022481200003716a.pdf/div-class-title-borel-amenable-reducibilities-for-sets-of-reals-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063833360","display_name":"Luca Motto Ros","orcid":"https://orcid.org/0000-0002-9372-4723"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Luca Motto Ros","raw_affiliation_strings":["Kurt G\u00f6del Research Center for Mathematical Logic, University of Vienna, W\u00e4hringer Stra\u00dfe 25, A-1090 Vienna, Austria, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kurt G\u00f6del Research Center for Mathematical Logic, University of Vienna, W\u00e4hringer Stra\u00dfe 25, A-1090 Vienna, Austria, E-mail:","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063833360"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":null,"apc_paid":null,"fwci":3.0302,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.91468454,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"74","issue":"1","first_page":"27","last_page":"49"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"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":0.9998999834060669,"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":0.995199978351593,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9904000163078308,"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/determinacy","display_name":"Determinacy","score":0.9089325666427612},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7875542044639587},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6718795895576477},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6694276928901672},{"id":"https://openalex.org/keywords/borel-hierarchy","display_name":"Borel hierarchy","score":0.5472327470779419},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4923652410507202},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42779889702796936},{"id":"https://openalex.org/keywords/borel-measure","display_name":"Borel measure","score":0.1689704954624176},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1503874659538269}],"concepts":[{"id":"https://openalex.org/C58468513","wikidata":"https://www.wikidata.org/wiki/Q1201165","display_name":"Determinacy","level":2,"score":0.9089325666427612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7875542044639587},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6718795895576477},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6694276928901672},{"id":"https://openalex.org/C25942563","wikidata":"https://www.wikidata.org/wiki/Q893487","display_name":"Borel hierarchy","level":4,"score":0.5472327470779419},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4923652410507202},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42779889702796936},{"id":"https://openalex.org/C166758865","wikidata":"https://www.wikidata.org/wiki/Q892585","display_name":"Borel measure","level":3,"score":0.1689704954624176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1503874659538269},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1231082301","is_oa":true,"landing_page_url":"https://doi.org/10.2178/jsl/1231082301","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0C94BDC56FC598ABBFDFF80C846DF997/S0022481200003716a.pdf/div-class-title-borel-amenable-reducibilities-for-sets-of-reals-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1231082301","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1231082301","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.2178/jsl/1231082301","is_oa":true,"landing_page_url":"https://doi.org/10.2178/jsl/1231082301","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0C94BDC56FC598ABBFDFF80C846DF997/S0022481200003716a.pdf/div-class-title-borel-amenable-reducibilities-for-sets-of-reals-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5199999809265137}],"awards":[{"id":"https://openalex.org/G2786153549","display_name":"Set Theory: inner models, outer models, projective sets","funder_award_id":"P 19898","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2168287010.pdf","grobid_xml":"https://content.openalex.org/works/W2168287010.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W192846609","https://openalex.org/W1539382740","https://openalex.org/W1558132641","https://openalex.org/W1842991113","https://openalex.org/W1965903048","https://openalex.org/W1973093523","https://openalex.org/W2046998526","https://openalex.org/W2082580524","https://openalex.org/W2200966179","https://openalex.org/W2277863313"],"related_works":["https://openalex.org/W2088108327","https://openalex.org/W3037524176","https://openalex.org/W45652848","https://openalex.org/W1521335825","https://openalex.org/W2505787881","https://openalex.org/W4299995469","https://openalex.org/W2168287010","https://openalex.org/W2951726561","https://openalex.org/W4317548253","https://openalex.org/W3102767982"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3],"if":[4],"\u2131":[5,33,48],"is":[6,43,49],"any":[7],"\u201cwell-behaved\u201d":[8],"subset":[9],"of":[10,19,24,52],"the":[11,17,22,39,44,50],"Borel":[12],"functions":[13],"and":[14],"we":[15],"assume":[16],"Axiom":[18],"Determinacy":[20],"then":[21],"hierarchy":[23,41],"degrees":[25],"on":[26],"(":[27],"\u03c9":[28,29],")":[30],"induced":[31],"by":[32],"turns":[34],"out":[35],"to":[36],"look":[37],"like":[38],"Wadge":[40],"(which":[42],"special":[45],"case":[46],"where":[47],"set":[51],"continuous":[53],"functions).":[54]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}