{"id":"https://openalex.org/W1999726814","doi":"https://doi.org/10.1002/malq.19970430403","title":"Extending Partial Orders on o\u2010Minimal Structures to Definable Total Orders","display_name":"Extending Partial Orders on o\u2010Minimal Structures to Definable Total Orders","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1999726814","doi":"https://doi.org/10.1002/malq.19970430403","mag":"1999726814"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19970430403","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430403","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","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":"Mathematical Logic Quarterly","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/A5033212640","display_name":"Dugald Macpherson","orcid":"https://orcid.org/0000-0003-0277-7561"},"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":"Dugald Macpherson","raw_affiliation_strings":["Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, U. K","Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, U.K.#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, U. K","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, U.K.#TAB#","institution_ids":["https://openalex.org/I130828816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056929763","display_name":"Charles Steinhorn","orcid":null},"institutions":[{"id":"https://openalex.org/I126820664","display_name":"Vassar College","ror":"https://ror.org/022x6qg61","country_code":"US","type":"education","lineage":["https://openalex.org/I126820664"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Charles Steinhorn","raw_affiliation_strings":["Department of Mathematics, Vassar College, Poughkeepsie, New York 12601, U.S.A","Department of Mathematics Vassar College, Poughkeepsie New York 12601 U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vassar College, Poughkeepsie, New York 12601, U.S.A","institution_ids":["https://openalex.org/I126820664"]},{"raw_affiliation_string":"Department of Mathematics Vassar College, Poughkeepsie New York 12601 U.S.A","institution_ids":["https://openalex.org/I126820664"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056929763"],"corresponding_institution_ids":["https://openalex.org/I126820664"],"apc_list":{"value":2900,"currency":"USD","value_usd":2900},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14119857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"43","issue":"4","first_page":"456","last_page":"464"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9987000226974487,"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"}},"topics":[{"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9760000109672546,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9614999890327454,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8484188914299011},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.621458113193512},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6194229125976562},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4526328146457672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06538474559783936}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8484188914299011},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.621458113193512},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6194229125976562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4526328146457672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06538474559783936},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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":[{"id":"doi:10.1002/malq.19970430403","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430403","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","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":"Mathematical Logic Quarterly","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.22.7142","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.7142","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.amsta.leeds.ac.uk/Pure/preprints/hdm/hdm6.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.7330","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.7330","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.vassar.edu/faculty/steinhorn/poset.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1541012876","https://openalex.org/W1964890313","https://openalex.org/W2010757891","https://openalex.org/W4237551483"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,9,17,24],"shown":[3],"that":[4,14],"if":[5],"(M,":[6,15],"<,":[7],"\u20db)":[8],"an":[10,34],"o\u2010minimal":[11],"structure":[12],"such":[13],"<)":[16],"a":[18,25,37],"dense":[19],"total":[20,39],"order":[21,28],"and":[22],"\u227e":[23,32],"parameter\u2010definable":[26],"partial":[27],"on":[29],"M,":[30],"then":[31],"has":[33],"extension":[35],"to":[36],"definable":[38],"order.":[40]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
