{"id":"https://openalex.org/W2005529528","doi":"https://doi.org/10.2307/2275820","title":"Noncappable enumeration degrees below <b>0</b><sub><i>e</i></sub><sup>\u2032</sup>","display_name":"Noncappable enumeration degrees below <b>0</b><sub><i>e</i></sub><sup>\u2032</sup>","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2005529528","doi":"https://doi.org/10.2307/2275820","mag":"2005529528"},"language":"en","primary_location":{"id":"doi:10.2307/2275820","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275820","pdf_url":null,"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":"Journal of Symbolic 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/A5076862599","display_name":"S. Barry Cooper","orcid":"https://orcid.org/0000-0001-5103-0400"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S. Barry Cooper","raw_affiliation_strings":["School of Mathematics, University of Leeds, LS2 9JT, England, E-mail:","(University of Leeds"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Leeds, LS2 9JT, England, E-mail:","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"(University of Leeds","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068865870","display_name":"Andrea Sorbi","orcid":"https://orcid.org/0000-0001-9288-3290"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea Sorbi","raw_affiliation_strings":["Department of Mathematics, University of Siena, 53100 Siena, Italy, E-mail:","University of Siena ()"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Siena, 53100 Siena, Italy, E-mail:","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"University of Siena ()","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0215,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74781341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"61","issue":"4","first_page":"1347","last_page":"1363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9987000226974487,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.965399980545044,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/enumeration","display_name":"Enumeration","score":0.9399628639221191},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4939902424812317},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4530198574066162},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.437699556350708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41311848163604736}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.9399628639221191},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4939902424812317},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4530198574066162},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.437699556350708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41311848163604736},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2275820","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275820","pdf_url":null,"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":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1082616","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/1082616","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W623765668","https://openalex.org/W1547216710","https://openalex.org/W2024373817","https://openalex.org/W2036737307","https://openalex.org/W2037662783","https://openalex.org/W2047316241","https://openalex.org/W2051601785","https://openalex.org/W2056414301","https://openalex.org/W2062310829","https://openalex.org/W2066055833","https://openalex.org/W2069624526","https://openalex.org/W2110883968","https://openalex.org/W2126750620","https://openalex.org/W2494466741","https://openalex.org/W2500837594","https://openalex.org/W2530006810","https://openalex.org/W2905135108","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W108845024","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"that":[3],"there":[4],"exists":[5],"a":[6],"noncappable":[7],"enumeration":[8],"degree":[9],"strictly":[10],"below":[11],"0":[12],"e":[13],"\u2032":[14],".":[15]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}