{"id":"https://openalex.org/W2074666115","doi":"https://doi.org/10.2168/lmcs-8(2:15)2012","title":"Precompact Apartness Spaces","display_name":"Precompact Apartness Spaces","publication_year":2012,"publication_date":"2012-06-25","ids":{"openalex":"https://openalex.org/W2074666115","doi":"https://doi.org/10.2168/lmcs-8(2:15)2012","mag":"2074666115"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-8(2:15)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(2:15)2012","pdf_url":"https://lmcs.episciences.org/1052/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/1052/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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 S Bridges","raw_affiliation_strings":["Department of Mathematics & Statistics, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand","University of Canterbury,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"University of Canterbury,","institution_ids":["https://openalex.org/I185492890"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053039771"],"corresponding_institution_ids":["https://openalex.org/I185492890"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11800216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 8, Issue 2","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9926000237464905,"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":0.9926000237464905,"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/constructive","display_name":"Constructive","score":0.911888599395752},{"id":"https://openalex.org/keywords/style","display_name":"Style (visual arts)","score":0.5974851846694946},{"id":"https://openalex.org/keywords/presentation","display_name":"Presentation (obstetrics)","score":0.5800540447235107},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5785558223724365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5751066207885742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3688673973083496},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3363485336303711},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3347533941268921},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.3218878507614136},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3104836642742157},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1009097695350647},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.10016325116157532},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.0777483582496643},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.05150902271270752}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.911888599395752},{"id":"https://openalex.org/C2776445246","wikidata":"https://www.wikidata.org/wiki/Q1792644","display_name":"Style (visual arts)","level":2,"score":0.5974851846694946},{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.5800540447235107},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5785558223724365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5751066207885742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3688673973083496},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3363485336303711},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3347533941268921},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.3218878507614136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3104836642742157},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1009097695350647},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.10016325116157532},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0777483582496643},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.05150902271270752},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2168/lmcs-8(2:15)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(2:15)2012","pdf_url":"https://lmcs.episciences.org/1052/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1205.2931","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1205.2931","pdf_url":"https://arxiv.org/pdf/1205.2931","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.758.312","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.758.312","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1205.2931.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:9d9d2e10e52f4461b78c13d10567422c","is_oa":true,"landing_page_url":"https://doaj.org/article/9d9d2e10e52f4461b78c13d10567422c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 8, Issue 2 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-8(2:15)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(2:15)2012","pdf_url":"https://lmcs.episciences.org/1052/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2074666115.pdf","grobid_xml":"https://content.openalex.org/works/W2074666115.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W126568045","https://openalex.org/W648714180","https://openalex.org/W1569391599","https://openalex.org/W1590304156","https://openalex.org/W2024315465","https://openalex.org/W2051538321","https://openalex.org/W2067914884","https://openalex.org/W2072019400","https://openalex.org/W2137144571","https://openalex.org/W2307983183","https://openalex.org/W3104826616","https://openalex.org/W4230735470","https://openalex.org/W4239316923"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4387426029","https://openalex.org/W4254162896","https://openalex.org/W4388792380","https://openalex.org/W1477999932","https://openalex.org/W4386731653","https://openalex.org/W2376001620","https://openalex.org/W2359930331","https://openalex.org/W1578739739","https://openalex.org/W3039045594"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,34,40],"notion":[3],"of":[4,9,15,46,50],"precompactness,":[5],"and":[6,38,52],"study":[7],"some":[8],"its":[10],"properties,":[11],"in":[12],"the":[13,43,47],"context":[14],"apartness":[16,19,51],"spaces":[17],"whose":[18],"structure":[20],"is":[21,39],"not":[22],"necessarily":[23],"induced":[24],"by":[25],"any":[26],"uniform":[27],"one.":[28],"The":[29],"presentation":[30],"lies":[31],"entirely":[32],"with":[33],"Bishop-style":[35],"constructive":[36,48],"framework,":[37],"contribution":[41],"to":[42],"ongoing":[44],"development":[45],"theories":[49],"uniformity.":[53]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}