{"id":"https://openalex.org/W2025849781","doi":"https://doi.org/10.1002/malq.200410033","title":"A Tukey decomposition of ??? and the tree property for directed sets","display_name":"A Tukey decomposition of ??? and the tree property for directed sets","publication_year":2005,"publication_date":"2005-03-18","ids":{"openalex":"https://openalex.org/W2025849781","doi":"https://doi.org/10.1002/malq.200410033","mag":"2025849781"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200410033","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200410033","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MLQ","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/A5018450531","display_name":"Masayuki Karato","orcid":null},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masayuki Karato","raw_affiliation_strings":["Graduate School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan","Graduate School of Science and Engineering, Waseda University, 3\u20104\u20101 Ohkubo, Shinjuku\u2010ku, Tokyo 169\u20108555, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Graduate School of Science and Engineering, Waseda University, 3\u20104\u20101 Ohkubo, Shinjuku\u2010ku, Tokyo 169\u20108555, Japan","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018450531"],"corresponding_institution_ids":["https://openalex.org/I150744194"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12065604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":"3","first_page":"305","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9861000180244446,"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":0.9861000180244446,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9706000089645386,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.953000009059906,"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/mathematics","display_name":"Mathematics","score":0.8417258262634277},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7051050662994385},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6052019596099854},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5820217728614807},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4361313581466675},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39820167422294617},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32223308086395264}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8417258262634277},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7051050662994385},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6052019596099854},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5820217728614807},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4361313581466675},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39820167422294617},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32223308086395264},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.200410033","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.200410033","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"MLQ","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1566868949","https://openalex.org/W1965608045","https://openalex.org/W2045590294","https://openalex.org/W2058592109","https://openalex.org/W2063123775","https://openalex.org/W2100038736","https://openalex.org/W6811424847"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W2066456778","https://openalex.org/W4288278856"],"abstract_inverted_index":{"Generalizing":[0],"a":[1],"result":[2],"of":[3,9],"Todor\u010devi\u0107,":[4],"we":[5,36],"prove":[6],"the":[7,30,39],"existence":[8],"directed":[10,43],"sets":[11,44],"D,":[12],"E":[13,20,26],"such":[14],"that":[15,38],"D":[16,24],"\u2271":[17,21],"\ud835\udcab\u03ba\u03bb":[18,22,28],"and":[19],"but":[23],"\u00d7":[25],"\u2265":[27],"in":[29],"Tukey":[31],"ordering.":[32],"As":[33],"an":[34],"application,":[35],"show":[37],"tree":[40],"property":[41],"for":[42],"introduced":[45],"by":[46],"Hinnion":[47],"is":[48],"not":[49],"preserved":[50],"under":[51],"products.":[52],"(\u00a9":[53],"2005":[54],"WILEY-VCH":[55],"Verlag":[56],"GmbH":[57],"&":[58],"Co.":[59],"KGaA,":[60],"Weinheim)":[61]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}