{"id":"https://openalex.org/W3008645364","doi":"https://doi.org/10.1017/jsl.2020.56","title":"SEPARATING DIAGONAL STATIONARY REFLECTION PRINCIPLES","display_name":"SEPARATING DIAGONAL STATIONARY REFLECTION PRINCIPLES","publication_year":2021,"publication_date":"2021-02-15","ids":{"openalex":"https://openalex.org/W3008645364","doi":"https://doi.org/10.1017/jsl.2020.56","mag":"3008645364"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/jsl.2020.56","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2002.12862","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048116137","display_name":"G\u00fcnter Fuchs","orcid":"https://orcid.org/0000-0003-4627-3154"},"institutions":[{"id":"https://openalex.org/I142393192","display_name":"College of Staten Island","ror":"https://ror.org/02p179j44","country_code":"US","type":"education","lineage":["https://openalex.org/I142393192"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"GUNTER FUCHS","raw_affiliation_strings":["THE COLLEGE OF STATEN ISLAND THE CITY UNIVERSITY OF NEW YORK 2800 VICTORY BLVD., STATEN ISLAND, NEW YORK, NY 10314, USA and THE GRADUATE CENTER THE CITY UNIVERSITY OF NEW YORK 365 5TH AVENUE, NEW YORK, NY 10016, USA E-mail:"],"affiliations":[{"raw_affiliation_string":"THE COLLEGE OF STATEN ISLAND THE CITY UNIVERSITY OF NEW YORK 2800 VICTORY BLVD., STATEN ISLAND, NEW YORK, NY 10314, USA and THE GRADUATE CENTER THE CITY UNIVERSITY OF NEW YORK 365 5TH AVENUE, NEW YORK, NY 10016, USA E-mail:","institution_ids":["https://openalex.org/I142393192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014651012","display_name":"Chris Lambie\u2010Hanson","orcid":"https://orcid.org/0000-0001-5365-7282"},"institutions":[{"id":"https://openalex.org/I184840846","display_name":"Virginia Commonwealth University","ror":"https://ror.org/02nkdxk79","country_code":"US","type":"education","lineage":["https://openalex.org/I184840846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"CHRIS LAMBIE-HANSON","raw_affiliation_strings":["DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS VIRGINIA COMMONWEALTH UNIVERSITY RICHMOND, VA 23284, USA E-mail:"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS VIRGINIA COMMONWEALTH UNIVERSITY RICHMOND, VA 23284, USA E-mail:","institution_ids":["https://openalex.org/I184840846"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.147,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":5,"citation_normalized_percentile":{"value":0.824582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":78,"max":81},"biblio":{"volume":"86","issue":"1","first_page":"262","last_page":"292"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9986,"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":0.9986,"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":0.982,"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":0.9716,"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/reflection","display_name":"Reflection","score":0.8799361},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4225556}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.8843477},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.8799361},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5444693},{"id":"https://openalex.org/C118368358","wikidata":"https://www.wikidata.org/wiki/Q7307248","display_name":"Reflection principle (Wiener process)","level":5,"score":0.5334931},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4225556},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41449606},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35214347},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3317647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2469084},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18988892},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.0},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/jsl.2020.56","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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2002.12862","pdf_url":"https://arxiv.org/pdf/2002.12862","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2002.12862","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2002.12862","pdf_url":"https://arxiv.org/pdf/2002.12862","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.58}],"grants":[],"datasets":[],"versions":["https://openalex.org/W3008645364","https://openalex.org/W3131134320"],"referenced_works_count":15,"referenced_works":["https://openalex.org/W155697877","https://openalex.org/W1969194502","https://openalex.org/W2113692571","https://openalex.org/W2117873821","https://openalex.org/W2122326561","https://openalex.org/W2151715640","https://openalex.org/W2185258205","https://openalex.org/W2318231933","https://openalex.org/W2788877877","https://openalex.org/W2963466628","https://openalex.org/W2963606866","https://openalex.org/W3036688291","https://openalex.org/W4243701117","https://openalex.org/W569042159","https://openalex.org/W63070768"],"related_works":["https://openalex.org/W4313907067","https://openalex.org/W3192267411","https://openalex.org/W3008645364","https://openalex.org/W2886364346","https://openalex.org/W2479095697","https://openalex.org/W2368908306","https://openalex.org/W2256381225","https://openalex.org/W2089209555","https://openalex.org/W1989453270","https://openalex.org/W1529195008"],"abstract_inverted_index":{"Abstract":[0],"We":[1,16],"introduce":[2],"three":[3],"families":[4],"of":[5,11,14,30,41],"diagonal":[6],"reflection":[7,36],"principles":[8,29],"for":[9],"matrices":[10],"stationary":[12,32],"sets":[13],"ordinals.":[15],"analyze":[17],"both":[18],"their":[19,24],"relationships":[20,25],"among":[21],"themselves":[22],"and":[23,38],"with":[26],"other":[27],"known":[28],"simultaneous":[31],"reflection,":[33],"the":[34,39],"strong":[35],"principle,":[37],"existence":[40],"square":[42],"sequences.":[43]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3008645364","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-01-02T07:31:36.018324","created_date":"2020-03-06"}