{"id":"https://openalex.org/W2024734819","doi":"https://doi.org/10.1137/0218067","title":"Topological Completeness in an Ideal Model for Polymorphic Types","display_name":"Topological Completeness in an Ideal Model for Polymorphic Types","publication_year":1989,"publication_date":"1989-10-01","ids":{"openalex":"https://openalex.org/W2024734819","doi":"https://doi.org/10.1137/0218067","mag":"2024734819"},"language":"en","primary_location":{"id":"doi:10.1137/0218067","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0218067","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5060662730","display_name":"Ernst\u2013Erich Doberkat","orcid":null},"institutions":[{"id":"https://openalex.org/I155765044","display_name":"University of Hildesheim","ror":"https://ror.org/02f9det96","country_code":"DE","type":"education","lineage":["https://openalex.org/I155765044"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ernst-Erich Doberkat","raw_affiliation_strings":["Department of Computer Science, University of Hildesheim, Hildesheim, West Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Hildesheim, Hildesheim, West Germany","institution_ids":["https://openalex.org/I155765044"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060662730"],"corresponding_institution_ids":["https://openalex.org/I155765044"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.14783784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"5","first_page":"977","last_page":"989"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994999766349792,"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":0.9994999766349792,"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":0.993399977684021,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9927999973297119,"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":0.8279463648796082},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7375386357307434},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6123321056365967},{"id":"https://openalex.org/keywords/closeness","display_name":"Closeness","score":0.5269380807876587},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.46591734886169434},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44657742977142334},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.44591474533081055},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43197938799858093},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37096303701400757},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23025891184806824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1419818103313446}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8279463648796082},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7375386357307434},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6123321056365967},{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.5269380807876587},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.46591734886169434},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44657742977142334},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.44591474533081055},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43197938799858093},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37096303701400757},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23025891184806824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1419818103313446},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0218067","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0218067","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1506173494","https://openalex.org/W1531856058","https://openalex.org/W1592287058","https://openalex.org/W1603304375","https://openalex.org/W1992520783","https://openalex.org/W2090415524"],"related_works":["https://openalex.org/W4245749626","https://openalex.org/W1970705056","https://openalex.org/W2324635313","https://openalex.org/W2114312528","https://openalex.org/W2898489509","https://openalex.org/W4381094307","https://openalex.org/W2594177681","https://openalex.org/W2004730461","https://openalex.org/W2160974037","https://openalex.org/W2586442026"],"abstract_inverted_index":{"The":[0],"topological":[1],"structure":[2],"underlying":[3],"the":[4,41,60],"ideal":[5],"model":[6],"of":[7,43,50,62,64],"recursive":[8],"polymorphic":[9],"types":[10],"proposed":[11],"by":[12],"MacQueen,":[13],"Plotkin,":[14],"and":[15,72,74],"Sethi":[16],"are":[17,70],"examined.":[18],"It":[19],"is":[20,46,79],"shown":[21],"that":[22],"their":[23,44],"central":[24],"argument":[25],"in":[26,55],"establishing":[27],"a":[28,37,47,56,75],"well-defined":[29],"semantical":[30],"function,":[31],"viz.,":[32],"completeness":[33],"with":[34],"respect":[35],"to":[36],"metric":[38],"obtained":[39],"from":[40,59],"construction":[42],"domain,":[45],"special":[48],"case":[49],"complete":[51],"uniformities,":[52],"which":[53],"arise":[54],"natural":[57],"way":[58],"study":[61],"closeness":[63],"ideals":[65],"on":[66,84],"domains.":[67],"These":[68],"uniformities":[69],"constructed":[71],"studied,":[73],"general":[76],"fixed-point":[77],"theorem":[78],"derived":[80],"for":[81],"maps":[82],"defined":[83],"these":[85],"ideals.":[86]},"counts_by_year":[{"year":2015,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}