{"id":"https://openalex.org/W2608883508","doi":"https://doi.org/10.1007/s00153-017-0537-8","title":"Bounded low and high sets","display_name":"Bounded low and high sets","publication_year":2017,"publication_date":"2017-04-28","ids":{"openalex":"https://openalex.org/W2608883508","doi":"https://doi.org/10.1007/s00153-017-0537-8","mag":"2608883508"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-017-0537-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-017-0537-8","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":true,"oa_status":"green","oa_url":"https://repository.wellesley.edu/scholarship/150","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105787706","display_name":"Bernard A. Anderson","orcid":null},"institutions":[{"id":"https://openalex.org/I281429137","display_name":"Gordon State College","ror":"https://ror.org/004gk0w56","country_code":"US","type":"education","lineage":["https://openalex.org/I281429137"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bernard A. Anderson","raw_affiliation_strings":["Department of Mathematics and Computer Science, Gordon State College, 419 College Drive, Barnesville, GA, 30204, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Gordon State College, 419 College Drive, Barnesville, GA, 30204, USA","institution_ids":["https://openalex.org/I281429137"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061005365","display_name":"Barbara F. Csima","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Barbara F. Csima","raw_affiliation_strings":["Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077559962","display_name":"Karen Lange","orcid":"https://orcid.org/0000-0003-4311-0499"},"institutions":[{"id":"https://openalex.org/I189731429","display_name":"Wellesley College","ror":"https://ror.org/01srpnj69","country_code":"US","type":"education","lineage":["https://openalex.org/I189731429"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Karen M. Lange","raw_affiliation_strings":["Department of Mathematics, Wellesley College, 106 Central St., Wellesley, MA, 02481, USA"],"raw_orcid":"https://orcid.org/0000-0003-4311-0499","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wellesley College, 106 Central St., Wellesley, MA, 02481, USA","institution_ids":["https://openalex.org/I189731429"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077559962"],"corresponding_institution_ids":["https://openalex.org/I189731429"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.422,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83010107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"56","issue":"5-6","first_page":"507","last_page":"521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9718000292778015,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9697999954223633,"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/bounded-function","display_name":"Bounded function","score":0.8979461193084717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.765566349029541},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.7388376593589783},{"id":"https://openalex.org/keywords/bounded-operator","display_name":"Bounded operator","score":0.5402320623397827},{"id":"https://openalex.org/keywords/bounded-inverse-theorem","display_name":"Bounded inverse theorem","score":0.5193287134170532},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4315420687198639},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3836636245250702},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14855480194091797}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8979461193084717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.765566349029541},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.7388376593589783},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.5402320623397827},{"id":"https://openalex.org/C93796298","wikidata":"https://www.wikidata.org/wiki/Q4949984","display_name":"Bounded inverse theorem","level":4,"score":0.5193287134170532},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4315420687198639},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3836636245250702},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14855480194091797},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00153-017-0537-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-017-0537-8","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"},{"id":"pmh:oai:repository.wellesley.edu:scholarship-1151","is_oa":true,"landing_page_url":"https://repository.wellesley.edu/scholarship/150","pdf_url":"https://repository.wellesley.edu/scholarship/150","source":{"id":"https://openalex.org/S4377196571","display_name":"Wellesley College Digital RepositoryWellesley (Wellesley College)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189731429","host_organization_name":"Wellesley College","host_organization_lineage":["https://openalex.org/I189731429"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Research and Scholarship","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:repository.wellesley.edu:scholarship-1151","is_oa":true,"landing_page_url":"https://repository.wellesley.edu/scholarship/150","pdf_url":"https://repository.wellesley.edu/scholarship/150","source":{"id":"https://openalex.org/S4377196571","display_name":"Wellesley College Digital RepositoryWellesley (Wellesley College)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189731429","host_organization_name":"Wellesley College","host_organization_lineage":["https://openalex.org/I189731429"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Research and Scholarship","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6307912181","display_name":null,"funder_award_id":"DMS-0802961","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"},{"id":"https://openalex.org/G8131847187","display_name":null,"funder_award_id":"DMS-1100604","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308518","display_name":"Wellesley College","ror":"https://ror.org/01srpnj69"},{"id":"https://openalex.org/F4320332172","display_name":"Directorate for Mathematical and Physical Sciences","ror":"https://ror.org/029b7h395"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2608883508.pdf"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1556584770","https://openalex.org/W1982821787","https://openalex.org/W2056414301","https://openalex.org/W2064432102","https://openalex.org/W2083623332","https://openalex.org/W2091909693","https://openalex.org/W2104329043","https://openalex.org/W2109999184","https://openalex.org/W2169472814","https://openalex.org/W2616606085","https://openalex.org/W3104990180","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W1974534944","https://openalex.org/W2141474714","https://openalex.org/W2053267586","https://openalex.org/W2183279509","https://openalex.org/W2015370161","https://openalex.org/W1881931988","https://openalex.org/W1553968437","https://openalex.org/W2616801909","https://openalex.org/W2278611972","https://openalex.org/W4233533163"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}