{"id":"https://openalex.org/W2032982436","doi":"https://doi.org/10.1016/s0168-0072(97)00049-3","title":"Borel equivalence relations induced by actions of the symmetric group","display_name":"Borel equivalence relations induced by actions of the symmetric group","publication_year":1998,"publication_date":"1998-03-01","ids":{"openalex":"https://openalex.org/W2032982436","doi":"https://doi.org/10.1016/s0168-0072(97)00049-3","mag":"2032982436"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(97)00049-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(97)00049-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007297000493/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0168007297000493/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044036779","display_name":"Greg Hjorth","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Greg Hjorth","raw_affiliation_strings":["Department of Mathematics, UCLA, Los Angeles, CA 90024, USA","Department of Mathematics,UCLA,Los Angeles,CA 90024,USA("],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, UCLA, Los Angeles, CA 90024, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Department of Mathematics,UCLA,Los Angeles,CA 90024,USA(","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079780126","display_name":"Alexander S. Kechris","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander S. Kechris","raw_affiliation_strings":["Department of Mathematics, Caltech, Pasadena, CA 91125, USA","Department of Mathematics,  Caltech, Pasadena, CA 91125, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Caltech, Pasadena, CA 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Department of Mathematics,  Caltech, Pasadena, CA 91125, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081586917","display_name":"Alain Louveau","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alain Louveau","raw_affiliation_strings":["Equipe d' Analyse, Universit\u00e9 Paris VI, 4, Place Jussieu, 75230 Paris Cedex 05, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Equipe d' Analyse, Universit\u00e9 Paris VI, 4, Place Jussieu, 75230 Paris Cedex 05, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5044036779"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":3.5409,"has_fulltext":true,"cited_by_count":53,"citation_normalized_percentile":{"value":0.93182211,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"92","issue":"1","first_page":"63","last_page":"112"},"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":0.9980000257492065,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9873999953269958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8879626989364624},{"id":"https://openalex.org/keywords/borel-equivalence-relation","display_name":"Borel equivalence relation","score":0.8736666440963745},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.8441227674484253},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.7178333401679993},{"id":"https://openalex.org/keywords/borel-hierarchy","display_name":"Borel hierarchy","score":0.5935505628585815},{"id":"https://openalex.org/keywords/borel-set","display_name":"Borel set","score":0.48394066095352173},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4605962038040161},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.45491859316825867},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4320867955684662},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4185114800930023},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.41566187143325806},{"id":"https://openalex.org/keywords/group-action","display_name":"Group action","score":0.4126068949699402},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3987361192703247},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3483508825302124},{"id":"https://openalex.org/keywords/borel-measure","display_name":"Borel measure","score":0.1214745044708252},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.10908779501914978}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8879626989364624},{"id":"https://openalex.org/C5278979","wikidata":"https://www.wikidata.org/wiki/Q4944905","display_name":"Borel equivalence relation","level":4,"score":0.8736666440963745},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.8441227674484253},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.7178333401679993},{"id":"https://openalex.org/C25942563","wikidata":"https://www.wikidata.org/wiki/Q893487","display_name":"Borel hierarchy","level":4,"score":0.5935505628585815},{"id":"https://openalex.org/C39952206","wikidata":"https://www.wikidata.org/wiki/Q21086747","display_name":"Borel set","level":2,"score":0.48394066095352173},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4605962038040161},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.45491859316825867},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4320867955684662},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4185114800930023},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.41566187143325806},{"id":"https://openalex.org/C131715654","wikidata":"https://www.wikidata.org/wiki/Q288465","display_name":"Group action","level":3,"score":0.4126068949699402},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3987361192703247},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3483508825302124},{"id":"https://openalex.org/C166758865","wikidata":"https://www.wikidata.org/wiki/Q892585","display_name":"Borel measure","level":3,"score":0.1214745044708252},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.10908779501914978},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0168-0072(97)00049-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(97)00049-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007297000493/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:38569","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/38569/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1016/s0168-0072(97)00049-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0168-0072(97)00049-3","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0168007297000493/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6935255801","display_name":"Mathematical Sciences: Descriptive Set Theory","funder_award_id":"9317509","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2032982436.pdf","grobid_xml":"https://content.openalex.org/works/W2032982436.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W40029885","https://openalex.org/W65053296","https://openalex.org/W110058238","https://openalex.org/W1180449143","https://openalex.org/W1539382740","https://openalex.org/W1555991696","https://openalex.org/W1602868010","https://openalex.org/W2007726802","https://openalex.org/W2016314496","https://openalex.org/W2019185145","https://openalex.org/W2024078235","https://openalex.org/W2049288284","https://openalex.org/W2074533872","https://openalex.org/W2105293318","https://openalex.org/W2140891656","https://openalex.org/W4230295967","https://openalex.org/W4293117209","https://openalex.org/W6635894727"],"related_works":["https://openalex.org/W2122677906","https://openalex.org/W110058238","https://openalex.org/W2255570240","https://openalex.org/W2021474232","https://openalex.org/W2140891656","https://openalex.org/W2735159494","https://openalex.org/W1575382216","https://openalex.org/W4302132510","https://openalex.org/W2046711029","https://openalex.org/W4285662866"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3}],"updated_date":"2026-08-03T07:22:36.454288","created_date":"2025-10-10T00:00:00"}
