{"id":"https://openalex.org/W2018099013","doi":"https://doi.org/10.1016/j.entcs.2008.03.004","title":"Continuity Properties of Preference Relations","display_name":"Continuity Properties of Preference Relations","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2018099013","doi":"https://doi.org/10.1016/j.entcs.2008.03.004","mag":"2018099013"},"language":"en","primary_location":{"id":"doi:10.1016/j.entcs.2008.03.004","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.entcs.2008.03.004","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/j.entcs.2008.03.004","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010461005","display_name":"Marian Alexandru Baroni","orcid":null},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Marian Baroni","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand","Department of Mathematics and Statistics , University of Canterbury , Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Canterbury , Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053039771","display_name":"Douglas Bridges","orcid":null},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Douglas Bridges","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand","Department of Mathematics and Statistics , University of Canterbury , Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Canterbury , Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010461005","https://openalex.org/A5053039771"],"corresponding_institution_ids":["https://openalex.org/I185492890"],"apc_list":null,"apc_paid":null,"fwci":0.4633,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61505633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"202","issue":null,"first_page":"19","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9958000183105469,"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":0.9919000267982483,"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":0.768140435218811},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.758568286895752},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.7230286002159119},{"id":"https://openalex.org/keywords/preference-relation","display_name":"Preference relation","score":0.7140296101570129},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6920046806335449},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6433485150337219},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5502177476882935},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5447143316268921},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5066028833389282},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4879748225212097},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.425906240940094},{"id":"https://openalex.org/keywords/cauchy-sequence","display_name":"Cauchy sequence","score":0.4156431257724762},{"id":"https://openalex.org/keywords/extensional-definition","display_name":"Extensional definition","score":0.41337355971336365},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3774707615375519},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34236258268356323},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17466694116592407},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1600915491580963},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0687512457370758}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.768140435218811},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.758568286895752},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.7230286002159119},{"id":"https://openalex.org/C2777062324","wikidata":"https://www.wikidata.org/wiki/Q25036211","display_name":"Preference relation","level":3,"score":0.7140296101570129},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6920046806335449},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6433485150337219},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5502177476882935},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5447143316268921},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5066028833389282},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4879748225212097},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.425906240940094},{"id":"https://openalex.org/C203192437","wikidata":"https://www.wikidata.org/wiki/Q217847","display_name":"Cauchy sequence","level":2,"score":0.4156431257724762},{"id":"https://openalex.org/C136137745","wikidata":"https://www.wikidata.org/wiki/Q19515659","display_name":"Extensional definition","level":3,"score":0.41337355971336365},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3774707615375519},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34236258268356323},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17466694116592407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1600915491580963},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0687512457370758},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C77928131","wikidata":"https://www.wikidata.org/wiki/Q193343","display_name":"Tectonics","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.entcs.2008.03.004","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.entcs.2008.03.004","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.entcs.2008.03.004","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.entcs.2008.03.004","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W65566710","https://openalex.org/W1569391599","https://openalex.org/W1845815200","https://openalex.org/W1977351216","https://openalex.org/W1984144937","https://openalex.org/W1994552931","https://openalex.org/W2034378131","https://openalex.org/W2062492362","https://openalex.org/W2064351239","https://openalex.org/W2120450003","https://openalex.org/W2145897424","https://openalex.org/W2171023219","https://openalex.org/W2171525496","https://openalex.org/W2324882973","https://openalex.org/W2485849769","https://openalex.org/W4239316923","https://openalex.org/W4298199426","https://openalex.org/W6634226951","https://openalex.org/W6666026584","https://openalex.org/W6666476010","https://openalex.org/W6681228213","https://openalex.org/W6722300409","https://openalex.org/W6820394604"],"related_works":["https://openalex.org/W2429757691","https://openalex.org/W2074694855","https://openalex.org/W2566830906","https://openalex.org/W4297833754","https://openalex.org/W2071086265","https://openalex.org/W3163083430","https://openalex.org/W2994271239","https://openalex.org/W3121719501","https://openalex.org/W3175843580","https://openalex.org/W3021467226"],"abstract_inverted_index":{"Various":[0],"types":[1],"of":[2,44,51],"continuity":[3,50],"for":[4,22],"preference":[5,27,55],"relations":[6,56],"on":[7,29,57],"a":[8,30],"metric":[9,32,60],"space":[10,33],"are":[11,20],"examined":[12],"constructively.":[13],"In":[14],"particular,":[15],"necessary":[16],"and":[17,68],"sufficient":[18],"conditions":[19],"given":[21],"an":[23],"order-dense,":[24],"strongly":[25],"extensional":[26],"relation":[28],"complete":[31],"to":[34,64],"be":[35],"continuous.":[36],"It":[37],"is":[38,62,70],"also":[39],"shown,":[40],"in":[41],"the":[42,49],"spirit":[43],"constructive":[45,75],"reverse":[46],"mathematics,":[47],"that":[48],"sequentially":[52],"continuous,":[53],"order-dense":[54],"complete,":[58],"separable":[59],"spaces":[61],"connected":[63],"Ishihara's":[65],"principle":[66],"BD-N,":[67],"therefore":[69],"not":[71],"provable":[72],"within":[73],"Bishop-style":[74],"mathematics":[76],"alone.":[77]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}