{"id":"https://openalex.org/W1993819407","doi":"https://doi.org/10.1017/s0960129508006786","title":"Exponentiable morphisms of domains","display_name":"Exponentiable morphisms of domains","publication_year":2008,"publication_date":"2008-05-28","ids":{"openalex":"https://openalex.org/W1993819407","doi":"https://doi.org/10.1017/s0960129508006786","mag":"1993819407"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129508006786","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129508006786","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","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/A5067883592","display_name":"Francesca Cagliari","orcid":"https://orcid.org/0000-0003-1419-0733"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"F. CAGLIARI","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Bologna, Piazza di Porta S. Donato 5, I-40127 Bologna, Italy Email:","Universit\u00e0 di Bologna"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bologna, Piazza di Porta S. Donato 5, I-40127 Bologna, Italy Email:","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Universit\u00e0 di Bologna","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049125675","display_name":"Sandra Mantovani","orcid":"https://orcid.org/0000-0002-7941-1851"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. MANTOVANI","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Milano, Via Saldini 50, I-20133 Milano, Italy Email:","Universita di Milano#TAB#"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Milano, Via Saldini 50, I-20133 Milano, Italy Email:","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Universita di Milano#TAB#","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067883592"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07570843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"5","first_page":"1005","last_page":"1016"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991999864578247,"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":0.9991999864578247,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/morphism","display_name":"Morphism","score":0.8892043828964233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7943484783172607},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.784270167350769},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.7826594114303589},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4589982032775879},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.45001405477523804},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44444939494132996},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42892682552337646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40514808893203735},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39750438928604126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12245896458625793},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06704556941986084},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.057544440031051636}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.8892043828964233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7943484783172607},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.784270167350769},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7826594114303589},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4589982032775879},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.45001405477523804},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44444939494132996},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42892682552337646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40514808893203735},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39750438928604126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12245896458625793},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06704556941986084},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.057544440031051636},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0960129508006786","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129508006786","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/68077","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/68077","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1485029123","https://openalex.org/W1967613287","https://openalex.org/W1990711332","https://openalex.org/W1991559874","https://openalex.org/W1996648065","https://openalex.org/W2006848469","https://openalex.org/W2028000879","https://openalex.org/W2088027070","https://openalex.org/W2100355522","https://openalex.org/W2162548412","https://openalex.org/W2196559987","https://openalex.org/W2330548796","https://openalex.org/W2487763598","https://openalex.org/W2612007309","https://openalex.org/W2914212232","https://openalex.org/W4243711577","https://openalex.org/W6674904790","https://openalex.org/W6684029850","https://openalex.org/W6737420594","https://openalex.org/W6758921281"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W2963377682","https://openalex.org/W2043159103","https://openalex.org/W2391769344","https://openalex.org/W4297790016","https://openalex.org/W2359260952","https://openalex.org/W2769269860","https://openalex.org/W2388752733","https://openalex.org/W3109562497"],"abstract_inverted_index":{"Given":[0],"a":[1,97],"map":[2],"f":[3,14,22,42],"in":[4,15,23,44,49,81,91,99,105,112,122],"the":[5,24,30,37,54,60,72,75,82,120],"category":[6,25,83],"\u03c9-":[7,16,50,79,100,113],"Cpo":[8,17,51,80,101,114],"of":[9,13,21,27,56,59,78,85,128],"\u03c9-complete":[10],"posets,":[11,28],"exponentiability":[12,20,90,121],"easily":[18],"implies":[19],"Pos":[26,45,109,125],"while":[29],"converse":[31],"is":[32,103,110],"not":[33],"true.":[34],"We":[35],"investigate":[36],"extra":[38],"conditions":[39],"needed":[40],"on":[41],"exponentiable":[43,48,104,111],"to":[46],"be":[47],"by":[52],"showing":[53],"existence":[55],"partial":[57],"products":[58],"two-point":[61],"ordered":[62],"set":[63],"S":[64],"={0<1}":[65],"(Theorem":[66],"2.8).":[67],"Using":[68],"this":[69],"characterisation":[70],"and":[71,94,108,124],"embedding":[73],"through":[74],"Scott":[76],"topology":[77],"Top":[84,107,123],"topological":[86],"spaces,":[87],"we":[88,117],"compare":[89],"each":[92,129],"setting":[93],"find":[95],"that":[96,102,119],"morphism":[98],"both":[106],"also.":[115],"Furthermore,":[116],"show":[118],"are":[126],"independent":[127],"other.":[130]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}