{"id":"https://openalex.org/W2112392897","doi":"https://doi.org/10.1017/s0960129500000876","title":"Constructive theory of the lower power locale","display_name":"Constructive theory of the lower power locale","publication_year":1996,"publication_date":"1996-02-01","ids":{"openalex":"https://openalex.org/W2112392897","doi":"https://doi.org/10.1017/s0960129500000876","mag":"2112392897"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129500000876","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000876","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/A5113752759","display_name":"Marta Bunge","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M. Bunge","raw_affiliation_strings":["McGill University, Deptartment of Mathematics and Statistics, 805 Sherbrooke Street West, Montr\u00e9al, QC, Canada H3A 2K6 Email","McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University, Deptartment of Mathematics and Statistics, 805 Sherbrooke Street West, Montr\u00e9al, QC, Canada H3A 2K6 Email","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064463229","display_name":"Jonathon Funk","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. funk","raw_affiliation_strings":["McGill University, Deptartment of Mathematics and Statistics, 805 Sherbrooke Street West, Montr\u00e9al, QC, Canada H3A 2K6 Email","McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University, Deptartment of Mathematics and Statistics, 805 Sherbrooke Street West, Montr\u00e9al, QC, Canada H3A 2K6 Email","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":3.8501,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.95193261,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"6","issue":"1","first_page":"69","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9927999973297119,"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"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9927999973297119,"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"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9883999824523926,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/topos-theory","display_name":"Topos theory","score":0.9186978340148926},{"id":"https://openalex.org/keywords/locale","display_name":"Locale (computer software)","score":0.9068528413772583},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.7100537419319153},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6356375813484192},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5849955677986145},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.580488383769989},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5031132102012634},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.47288838028907776},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40436893701553345},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34997695684432983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1957373023033142},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08190622925758362},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0694933831691742}],"concepts":[{"id":"https://openalex.org/C182141236","wikidata":"https://www.wikidata.org/wiki/Q2143621","display_name":"Topos theory","level":2,"score":0.9186978340148926},{"id":"https://openalex.org/C2776049293","wikidata":"https://www.wikidata.org/wiki/Q1202471","display_name":"Locale (computer software)","level":2,"score":0.9068528413772583},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.7100537419319153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6356375813484192},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5849955677986145},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.580488383769989},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5031132102012634},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.47288838028907776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40436893701553345},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34997695684432983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1957373023033142},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08190622925758362},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0694933831691742},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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:10.1017/s0960129500000876","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000876","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W44074649","https://openalex.org/W131654326","https://openalex.org/W150761268","https://openalex.org/W635399154","https://openalex.org/W646836675","https://openalex.org/W1558098241","https://openalex.org/W1602062035","https://openalex.org/W1996984776","https://openalex.org/W2011659388","https://openalex.org/W2032386884","https://openalex.org/W2064563717","https://openalex.org/W2089733758","https://openalex.org/W2103953154","https://openalex.org/W2147644238","https://openalex.org/W2149565588","https://openalex.org/W2226609518","https://openalex.org/W2483096873","https://openalex.org/W2504126002","https://openalex.org/W2509639900","https://openalex.org/W3163307291","https://openalex.org/W4241368650","https://openalex.org/W6601769300","https://openalex.org/W6605351181","https://openalex.org/W6653512668","https://openalex.org/W6689479213"],"related_works":["https://openalex.org/W3110986101","https://openalex.org/W4246327958","https://openalex.org/W2579704584","https://openalex.org/W4319982912","https://openalex.org/W2803072931","https://openalex.org/W3125091610","https://openalex.org/W376795554","https://openalex.org/W4388254877","https://openalex.org/W4306974375","https://openalex.org/W2154428301"],"abstract_inverted_index":{"This":[0,47],"paper":[1],"considers":[2],"two":[3],"main":[4],"aspects":[5],"of":[6,23,42,52,57,78,81],"the":[7,19,38],"lower":[8],"power":[9],"locale":[10],"P":[11],"L":[12],"(X)":[13],":":[14],"first,":[15],"its":[16,29],"relation":[17],"to":[18,37,71,85],"symmetric":[20],"topos":[21],"construction":[22],"Bunge":[24],"and":[25,27,74],"Carboni;":[26],"second,":[28],"points,":[30],"which,":[31],"it":[32],"is":[33,48],"shown,":[34],"are":[35],"equivalent":[36],"weakly":[39,59],"closed":[40,60],"sublocales":[41],"X":[43],"with":[44],"open":[45],"domain.":[46],"done":[49],"as":[50],"part":[51],"a":[53,63,75,79],"more":[54],"general":[55],"discussion":[56],"arbitrary":[58],"sublocales,":[61],"including":[62],"new":[64,76],"characterization":[65],"using":[66],"suplattice":[67],"homomorphisms":[68],"from":[69],"o(X)":[70],"Sub(1)":[72],",":[73],"proof":[77],"theorem":[80],"Jibladze":[82],"relating":[83],"them":[84],"\u03a9-nuclei.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}