{"id":"https://openalex.org/W3002516972","doi":"https://doi.org/10.23638/lmcs-16(4:18)2020","title":"On open well-filtered spaces","display_name":"On open well-filtered spaces","publication_year":2020,"publication_date":"2020-12-18","ids":{"openalex":"https://openalex.org/W3002516972","doi":"https://doi.org/10.23638/lmcs-16(4:18)2020","mag":"3002516972"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-16(4:18)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(4:18)2020","pdf_url":"https://lmcs.episciences.org/6991/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/6991/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067390881","display_name":"Chong Shen","orcid":"https://orcid.org/0000-0001-5838-0438"},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]},{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I9356336","display_name":"Zhangzhou Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN","SG"],"is_corresponding":true,"raw_author_name":"Chong Shen","raw_affiliation_strings":["School of Mathematics and Statistics, Minnan Normal University, Fujian, Zhangzhou, China","School of Mathematical Sciences, Nanjing Normal University, Jiangsu, Nanjing, China","Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore","School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Minnan Normal University, Fujian, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]},{"raw_affiliation_string":"School of Mathematical Sciences, Nanjing Normal University, Jiangsu, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, Xuzhou, China","institution_ids":["https://openalex.org/I118574674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084801735","display_name":"Xiaoyong Xi","orcid":null},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]},{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I9356336","display_name":"Zhangzhou Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN","SG"],"is_corresponding":false,"raw_author_name":"Xiaoyong Xi","raw_affiliation_strings":["School of Mathematical Sciences, Nanjing Normal University, Jiangsu, Nanjing, China","School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, Xuzhou, China","Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore","School of Mathematics and Statistics, Minnan Normal University, Fujian, Zhangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Nanjing Normal University, Jiangsu, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, Xuzhou, China","institution_ids":["https://openalex.org/I118574674"]},{"raw_affiliation_string":"Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Minnan Normal University, Fujian, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113893328","display_name":"Xiaoquan Xu","orcid":"https://orcid.org/0000-0003-1159-8477"},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]},{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I9356336","display_name":"Zhangzhou Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN","SG"],"is_corresponding":false,"raw_author_name":"Xiaoquan Xu","raw_affiliation_strings":["School of Mathematics and Statistics, Minnan Normal University, Fujian, Zhangzhou, China","School of Mathematical Sciences, Nanjing Normal University, Jiangsu, Nanjing, China","Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore","School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Minnan Normal University, Fujian, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]},{"raw_affiliation_string":"School of Mathematical Sciences, Nanjing Normal University, Jiangsu, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, Xuzhou, China","institution_ids":["https://openalex.org/I118574674"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101497530","display_name":"Dongsheng Zhao","orcid":"https://orcid.org/0000-0001-8446-3624"},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]},{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I9356336","display_name":"Zhangzhou Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN","SG"],"is_corresponding":false,"raw_author_name":"Dongsheng Zhao","raw_affiliation_strings":["Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore","School of Mathematical Sciences, Nanjing Normal University, Jiangsu, Nanjing, China","School of Mathematics and Statistics, Minnan Normal University, Fujian, Zhangzhou, China","School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Mathematical Sciences, Nanjing Normal University, Jiangsu, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Minnan Normal University, Fujian, Zhangzhou, China","institution_ids":["https://openalex.org/I9356336"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu, Xuzhou, China","institution_ids":["https://openalex.org/I118574674"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5067390881"],"corresponding_institution_ids":["https://openalex.org/I118574674","https://openalex.org/I152031979","https://openalex.org/I172675005","https://openalex.org/I9356336"],"apc_list":null,"apc_paid":null,"fwci":0.3869,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54157195,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"Volume 16, Issue 4","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":0.9973999857902527,"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":0.9973999857902527,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9787999987602234,"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"}},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9404000043869019,"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/corollary","display_name":"Corollary","score":0.8190732598304749},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.694922685623169},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6125314831733704},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.6053600907325745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.550817608833313},{"id":"https://openalex.org/keywords/open-set","display_name":"Open set","score":0.5162015557289124},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46880677342414856},{"id":"https://openalex.org/keywords/locally-compact-space","display_name":"Locally compact space","score":0.4146692156791687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34710150957107544},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3302057981491089},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32534241676330566},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1491735577583313},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13913685083389282},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09481257200241089}],"concepts":[{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.8190732598304749},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.694922685623169},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6125314831733704},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.6053600907325745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.550817608833313},{"id":"https://openalex.org/C42357961","wikidata":"https://www.wikidata.org/wiki/Q213363","display_name":"Open set","level":2,"score":0.5162015557289124},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46880677342414856},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.4146692156791687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34710150957107544},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3302057981491089},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32534241676330566},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1491735577583313},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13913685083389282},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09481257200241089},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23638/lmcs-16(4:18)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(4:18)2020","pdf_url":"https://lmcs.episciences.org/6991/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:2001.07397","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2001.07397","pdf_url":"https://arxiv.org/pdf/2001.07397","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:doaj.org/article:6ef751d3dac34d92beb9954ac5c3a603","is_oa":true,"landing_page_url":"https://doaj.org/article/6ef751d3dac34d92beb9954ac5c3a603","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 16, Issue 4 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.23638/lmcs-16(4:18)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(4:18)2020","pdf_url":"https://lmcs.episciences.org/6991/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":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7346218018","display_name":null,"funder_award_id":"11871","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7931544478","display_name":null,"funder_award_id":"11871097","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322665","display_name":"Natural Science Foundation of Jiangxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3002516972.pdf","grobid_xml":"https://content.openalex.org/works/W3002516972.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W36135597","https://openalex.org/W438549760","https://openalex.org/W1560675747","https://openalex.org/W1989648858","https://openalex.org/W2221533885","https://openalex.org/W2468407376","https://openalex.org/W2624291954","https://openalex.org/W2808541536","https://openalex.org/W2902489302","https://openalex.org/W2996582244","https://openalex.org/W3041512537","https://openalex.org/W3099503149","https://openalex.org/W3192920699"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W2013770701","https://openalex.org/W3013941779","https://openalex.org/W1998659141","https://openalex.org/W3195376785","https://openalex.org/W2951185269","https://openalex.org/W2319937810","https://openalex.org/W2370435933","https://openalex.org/W4252816095"],"abstract_inverted_index":{"We":[0],"introduce":[1],"and":[2,54,68],"study":[3],"a":[4],"new":[5],"class":[6],"of":[7],"$T_0$":[8],"spaces,":[9],"called":[10],"open":[11,26,32,63],"well-filtered":[12,22,27,33,46,73],"spaces.":[13],"The":[14],"main":[15],"results":[16],"we":[17,41],"proved":[18],"include":[19],"(1)":[20],"every":[21,30,44,71],"space":[23,34,47,74],"is":[24,35,48],"an":[25,38],"space;":[28],"(2)":[29],"core-compact":[31,45,72],"sober.":[36,49],"As":[37],"immediate":[39],"corollary,":[40],"deduce":[42],"that":[43],"This":[50],"provides":[51],"another":[52],"different":[53],"relatively":[55],"more":[56],"straight":[57],"forward":[58],"method":[59],"to":[60],"answer":[61],"the":[62],"problem":[64],"posed":[65],"by":[66],"Jia":[67],"Jung:":[69],"Is":[70],"sober?":[75]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
