{"id":"https://openalex.org/W4407679841","doi":"https://doi.org/10.3390/axioms14020141","title":"Some Categories of Compactness and Connectedness in Generalized Topological Spaces","display_name":"Some Categories of Compactness and Connectedness in Generalized Topological Spaces","publication_year":2025,"publication_date":"2025-02-18","ids":{"openalex":"https://openalex.org/W4407679841","doi":"https://doi.org/10.3390/axioms14020141"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14020141","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14020141","pdf_url":"https://www.mdpi.com/2075-1680/14/2/141/pdf?version=1739897430","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/2/141/pdf?version=1739897430","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5116304489","display_name":"Muhammad Shahbaz","orcid":"https://orcid.org/0009-0005-7069-1753"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Shahbaz","raw_affiliation_strings":["Department of Mathematics, Quaid-I-Azam University Islamabad, Islamabad 45320, Pakistan"],"raw_orcid":"https://orcid.org/0009-0005-7069-1753","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-I-Azam University Islamabad, Islamabad 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079337270","display_name":"Tayyab Kamran","orcid":"https://orcid.org/0000-0001-7833-2476"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Tayyab Kamran","raw_affiliation_strings":["Department of Mathematics, Quaid-I-Azam University Islamabad, Islamabad 45320, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-7833-2476","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-I-Azam University Islamabad, Islamabad 45320, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045304341","display_name":"Umar Ishtiaq","orcid":"https://orcid.org/0000-0002-5228-1073"},"institutions":[{"id":"https://openalex.org/I87482320","display_name":"University of Management and Technology","ror":"https://ror.org/0095xcq10","country_code":"PK","type":"education","lineage":["https://openalex.org/I87482320"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Umar Ishtiaq","raw_affiliation_strings":["Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-5228-1073","affiliations":[{"raw_affiliation_string":"Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan","institution_ids":["https://openalex.org/I87482320"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077008960","display_name":"Mariam Imtiaz","orcid":null},"institutions":[{"id":"https://openalex.org/I174731842","display_name":"Islamia University of Bahawalpur","ror":"https://ror.org/002rc4w13","country_code":"PK","type":"education","lineage":["https://openalex.org/I174731842"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Mariam Imtiaz","raw_affiliation_strings":["Department of Mathematics, The Islamia University of Bahawalpur, Bahawalnagar Campus, Bahawalpur 63100, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Islamia University of Bahawalpur, Bahawalnagar Campus, Bahawalpur 63100, Pakistan","institution_ids":["https://openalex.org/I174731842"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007601852","display_name":"Ioan\u2010Lucian Popa","orcid":"https://orcid.org/0000-0001-8042-1806"},"institutions":[{"id":"https://openalex.org/I3123573182","display_name":"Transylvania University of Bra\u0219ov","ror":"https://ror.org/01cg9ws23","country_code":"RO","type":"education","lineage":["https://openalex.org/I3123573182"]},{"id":"https://openalex.org/I4210140223","display_name":"1 Decembrie 1918 University","ror":"https://ror.org/04577k168","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210140223"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Ioan-Lucian Popa","raw_affiliation_strings":["Department of Computing, Mathematics and Electronics, \u201c1 Decembrie 1918\u201d University of Alba Iulia, 510009 Alba Iulia, Romania","Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania"],"raw_orcid":"https://orcid.org/0000-0001-8042-1806","affiliations":[{"raw_affiliation_string":"Department of Computing, Mathematics and Electronics, \u201c1 Decembrie 1918\u201d University of Alba Iulia, 510009 Alba Iulia, Romania","institution_ids":["https://openalex.org/I4210140223"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091 Brasov, Romania","institution_ids":["https://openalex.org/I3123573182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069906212","display_name":"Fethi Mohamed Maiz","orcid":null},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Fethi Mohamed Maiz","raw_affiliation_strings":["Physics Department, Faculty of Science, King Khalid University, Abha P.O. Box 9004, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics Department, Faculty of Science, King Khalid University, Abha P.O. Box 9004, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5007601852","https://openalex.org/A5045304341"],"corresponding_institution_ids":["https://openalex.org/I3123573182","https://openalex.org/I4210140223","https://openalex.org/I87482320"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.8023,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82053793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"14","issue":"2","first_page":"141","last_page":"141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/social-connectedness","display_name":"Social connectedness","score":0.7997170686721802},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.7217797636985779},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.5959904789924622},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.44844019412994385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4441068172454834},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38567447662353516},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17368191480636597},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.10942921042442322},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.0607123076915741}],"concepts":[{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.7997170686721802},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.7217797636985779},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5959904789924622},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44844019412994385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4441068172454834},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38567447662353516},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17368191480636597},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.10942921042442322},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0607123076915741}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14020141","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14020141","pdf_url":"https://www.mdpi.com/2075-1680/14/2/141/pdf?version=1739897430","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4a640512a4d64b4791bc0114f8a743cd","is_oa":false,"landing_page_url":"https://doaj.org/article/4a640512a4d64b4791bc0114f8a743cd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 2, p 141 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14020141","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14020141","pdf_url":"https://www.mdpi.com/2075-1680/14/2/141/pdf?version=1739897430","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407679841.pdf"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W2883343","https://openalex.org/W267081411","https://openalex.org/W1977348098","https://openalex.org/W2008190987","https://openalex.org/W2037276849","https://openalex.org/W2050630047","https://openalex.org/W2093665769","https://openalex.org/W2152463976","https://openalex.org/W2781078048","https://openalex.org/W4405615176","https://openalex.org/W6611019678","https://openalex.org/W6717589238"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3125761283","https://openalex.org/W2164081328","https://openalex.org/W1976722080","https://openalex.org/W3092556108","https://openalex.org/W2117372696","https://openalex.org/W2487640660","https://openalex.org/W2383388349","https://openalex.org/W3187237649","https://openalex.org/W4282929111"],"abstract_inverted_index":{"The":[0,25,62],"presented":[1],"work":[2],"enhances":[3,103],"the":[4,19,45,48,54,77,86,97,104,117],"study":[5,46,110],"of":[6,21,27,65,79,88,106],"topological":[7,23,73,124],"characteristics":[8,37],"in":[9,18,40,122],"non-classical":[10],"circumstances":[11],"by":[12],"examining":[13],"Sg*-compact":[14],"and":[15,29,38,60,81,90,115],"Sg*-connected":[16],"spaces":[17,74],"context":[20],"generalized":[22,42,107,123],"spaces.":[24],"notions":[26],"Sg*-compactness":[28,89],"Sg*-connectedness":[30,91],"are":[31,69,83,92],"explored":[32],"better":[33],"to":[34,52,76,96,127],"understand":[35],"their":[36,128],"behavior":[39],"these":[41,66],"topologies.":[43],"Further,":[44],"implements":[47],"same":[49],"extended":[50],"contexts":[51],"investigate":[53],"separation":[55,98],"axioms,":[56,67,99],"particularly":[57],"T0,":[58],"T1,":[59],"T2.":[61],"structural":[63],"consequences":[64],"which":[68],"essential":[70],"for":[71,119],"categorizing":[72],"according":[75],"distinctness":[78],"points":[80],"sets,":[82],"examined.":[84],"Since":[85],"premises":[87],"not":[93],"directly":[94],"related":[95],"exploring":[100],"them":[101],"independently":[102],"analysis":[105],"topology.":[108],"This":[109],"serves":[111],"as":[112],"theoretical":[113],"insights":[114],"establishes":[116],"foundation":[118],"future":[120],"research":[121],"spaces,":[125],"contributing":[126],"continued":[129],"evolution.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
