{"id":"https://openalex.org/W2601919693","doi":"https://doi.org/10.23638/lmcs-13(1:18)2017","title":"Existence of strongly proper dyadic subbases","display_name":"Existence of strongly proper dyadic subbases","publication_year":2017,"publication_date":"2017-03-30","ids":{"openalex":"https://openalex.org/W2601919693","doi":"https://doi.org/10.23638/lmcs-13(1:18)2017","mag":"2601919693"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-13(1:18)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:18)2017","pdf_url":"https://lmcs.episciences.org/3234/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/3234/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088745561","display_name":"Yasuyuki Tsukamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yasuyuki Tsukamoto","raw_affiliation_strings":["Graduate School of Human and Environmental Studies , Kyoto University , Japan. San Francisco , CA 94105 , USA , or Eisenacher Strasse 2 , 10777 Berlin , Germany"],"affiliations":[{"raw_affiliation_string":"Graduate School of Human and Environmental Studies , Kyoto University , Japan. San Francisco , CA 94105 , USA , or Eisenacher Strasse 2 , 10777 Berlin , Germany","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088745561"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05264596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 13, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9975000023841858,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9890999794006348,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/subbase","display_name":"Subbase","score":0.9365943074226379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8067055940628052},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.6280195713043213},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5889812707901001},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4491890072822571},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.443755567073822},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.43500688672065735},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4266813099384308},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3837493360042572},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.346916526556015},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3388964831829071},{"id":"https://openalex.org/keywords/general-topology","display_name":"General topology","score":0.25934064388275146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19638696312904358},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11696282029151917}],"concepts":[{"id":"https://openalex.org/C70940072","wikidata":"https://www.wikidata.org/wiki/Q2739990","display_name":"Subbase","level":5,"score":0.9365943074226379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8067055940628052},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6280195713043213},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5889812707901001},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4491890072822571},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.443755567073822},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.43500688672065735},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4266813099384308},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3837493360042572},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.346916526556015},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3388964831829071},{"id":"https://openalex.org/C129089157","wikidata":"https://www.wikidata.org/wiki/Q621550","display_name":"General topology","level":3,"score":0.25934064388275146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19638696312904358},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11696282029151917},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C143913944","wikidata":"https://www.wikidata.org/wiki/Q5421952","display_name":"Extension topology","level":4,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23638/lmcs-13(1:18)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:18)2017","pdf_url":"https://lmcs.episciences.org/3234/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:1703.05212","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1703.05212","pdf_url":"https://arxiv.org/pdf/1703.05212","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":"doi:10.48550/arxiv.1703.05212","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1703.05212","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2963036287","is_oa":true,"landing_page_url":"https://dblp.uni-trier.de/db/journals/lmcs/lmcs13.html#Tsukamoto17","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":"Logical Methods in Computer Science","raw_type":null}],"best_oa_location":{"id":"doi:10.23638/lmcs-13(1:18)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:18)2017","pdf_url":"https://lmcs.episciences.org/3234/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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2601919693.pdf","grobid_xml":"https://content.openalex.org/works/W2601919693.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1997160929","https://openalex.org/W2072497723","https://openalex.org/W2148084455","https://openalex.org/W2160803067","https://openalex.org/W2276293371","https://openalex.org/W2462083873"],"related_works":["https://openalex.org/W26693340","https://openalex.org/W2512721618","https://openalex.org/W2465155266","https://openalex.org/W4297571715","https://openalex.org/W612762584","https://openalex.org/W2325254792","https://openalex.org/W2953737860","https://openalex.org/W1566741742","https://openalex.org/W2889640857","https://openalex.org/W1985684185"],"abstract_inverted_index":{"We":[0,92],"consider":[1],"a":[2,10,20,39,42,46,54,102],"topological":[3],"space":[4,18,100],"with":[5,41],"its":[6,90],"subbase":[7,21,36,40,48,82],"which":[8],"induces":[9,83],"coding":[11],"for":[12],"each":[13],"point.":[14],"Every":[15],"second-countable":[16],"Hausdorff":[17],"has":[19,101],"that":[22,77,94],"is":[23,37,49,75],"the":[24,58,64],"union":[25],"of":[26,30,57,67,89],"countably":[27],"many":[28],"pairs":[29],"disjoint":[31],"open":[32],"subsets.":[33],"A":[34],"dyadic":[35,47,68,81,105],"such":[38],"fixed":[43],"enumeration.":[44,91],"If":[45],"given,":[50],"then":[51],"we":[52],"obtain":[53],"domain":[55,86],"representation":[56,87],"given":[59],"space.":[60],"The":[61],"properness":[62,66],"and":[63,73],"strong":[65],"subbases":[69],"have":[70],"been":[71],"studied,":[72],"it":[74],"known":[76],"every":[78,95],"strongly":[79,103],"proper":[80,104],"an":[84],"admissible":[85],"regardless":[88],"show":[93],"locally":[96],"compact":[97],"separable":[98],"metric":[99],"subbase.":[106],"Comment:":[107],"11":[108],"pages":[109]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}