{"id":"https://openalex.org/W2163541345","doi":"https://doi.org/10.1023/a:1011247621101","title":"Connectedness with Respect to a Closure Operator","display_name":"Connectedness with Respect to a Closure Operator","publication_year":2001,"publication_date":"2001-05-01","ids":{"openalex":"https://openalex.org/W2163541345","doi":"https://doi.org/10.1023/a:1011247621101","mag":"2163541345"},"language":"en","primary_location":{"id":"doi:10.1023/a:1011247621101","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1011247621101","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","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/A5061590223","display_name":"Gabriele Castellini","orcid":null},"institutions":[{"id":"https://openalex.org/I60388903","display_name":"University of Puerto Rico-Mayaguez","ror":"https://ror.org/00wek6x04","country_code":"PR","type":"education","lineage":["https://openalex.org/I200399037","https://openalex.org/I60388903"]}],"countries":["PR"],"is_corresponding":true,"raw_author_name":"G. Castellini","raw_affiliation_strings":["Department of Mathematics, University of Puerto Rico, Mayaguez Campus, P.O. Box 5000, 00681-5000, Mayaguez, USA","Department of Mathematics, University of Puerto Rico, Mayaguez, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Puerto Rico, Mayaguez Campus, P.O. Box 5000, 00681-5000, Mayaguez, USA","institution_ids":["https://openalex.org/I60388903"]},{"raw_affiliation_string":"Department of Mathematics, University of Puerto Rico, Mayaguez, USA","institution_ids":["https://openalex.org/I60388903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061590223"],"corresponding_institution_ids":["https://openalex.org/I60388903"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8913,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.851618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"9","issue":"3","first_page":"285","last_page":"302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9993000030517578,"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":0.9993000030517578,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9968000054359436,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9936000108718872,"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/social-connectedness","display_name":"Social connectedness","score":0.8642651438713074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6981194615364075},{"id":"https://openalex.org/keywords/closure-operator","display_name":"Closure operator","score":0.650249719619751},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6031098365783691},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5859773755073547},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5815823078155518},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5204708576202393},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.502129077911377},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48753592371940613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3488045632839203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.199212908744812},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.14102333784103394},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11078369617462158},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08946609497070312},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.078345388174057},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.07779473066329956}],"concepts":[{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.8642651438713074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6981194615364075},{"id":"https://openalex.org/C160771489","wikidata":"https://www.wikidata.org/wiki/Q10564851","display_name":"Closure operator","level":3,"score":0.650249719619751},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6031098365783691},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5859773755073547},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5815823078155518},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5204708576202393},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.502129077911377},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48753592371940613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3488045632839203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.199212908744812},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.14102333784103394},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11078369617462158},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08946609497070312},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.078345388174057},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.07779473066329956},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1011247621101","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1011247621101","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332618","display_name":"Faculty of Arts and Sciences","ror":"https://ror.org/03vek6s52"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W12608245","https://openalex.org/W79919140","https://openalex.org/W123394070","https://openalex.org/W623267246","https://openalex.org/W1963888466","https://openalex.org/W1993175210","https://openalex.org/W1994170308","https://openalex.org/W2003794953","https://openalex.org/W2006248128","https://openalex.org/W2025665222","https://openalex.org/W2065558770","https://openalex.org/W2075969484","https://openalex.org/W2088027070","https://openalex.org/W2094530575","https://openalex.org/W2129006511","https://openalex.org/W2197154209","https://openalex.org/W2258514092","https://openalex.org/W2274338058","https://openalex.org/W2328169135","https://openalex.org/W2513467817","https://openalex.org/W2737529465","https://openalex.org/W6834529100"],"related_works":["https://openalex.org/W2970346870","https://openalex.org/W2380317631","https://openalex.org/W2034094897","https://openalex.org/W1985909370","https://openalex.org/W12608245","https://openalex.org/W118416546","https://openalex.org/W3145990545","https://openalex.org/W2234563984","https://openalex.org/W1574045147","https://openalex.org/W2883226170"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
