{"id":"https://openalex.org/W7215369264","doi":null,"title":"Functions Associated with $^*g \\hat{\\alpha}$-Closed Sets in Topological Spaces","display_name":"Functions Associated with $^*g \\hat{\\alpha}$-Closed Sets in Topological Spaces","publication_year":2018,"publication_date":"2018-09-15","ids":{"openalex":"https://openalex.org/W7215369264"},"language":"en","primary_location":{"id":"pmh:oai:ojs2.ijmaa.in:article/380","doi":null,"is_oa":true,"landing_page_url":"https://ijmaa.in/index.php/ijmaa/article/view/380","pdf_url":"https://ijmaa.in/index.php/ijmaa/article/download/380/380","source":{"id":"https://openalex.org/S7407065868","display_name":"International Journal of Mathematics And its Applications","issn_l":"2347-1557","issn":["2347-1557"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2347-1557","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://ijmaa.in/index.php/ijmaa/article/download/380/380","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153949594","display_name":"S. Pious Missier","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I182997119","display_name":"Manonmaniam Sundaranar University","ror":"https://ror.org/02qgw5c67","country_code":"IN","type":"education","lineage":["https://openalex.org/I182997119"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Pious Missier","raw_affiliation_strings":["P.G. and Research Department of Mathematics, V.O. Chidambaram College (Affiliation of Manonmaiam Sundaranar University, Tirunelveli, Tamilnadu, India), Tuticorin, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"P.G. and Research Department of Mathematics, V.O. Chidambaram College (Affiliation of Manonmaiam Sundaranar University, Tirunelveli, Tamilnadu, India), Tuticorin, Tamil Nadu, India","institution_ids":["https://openalex.org/I182997119"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069716368","display_name":"K. M. Arifmohammed","orcid":"https://orcid.org/0000-0002-3770-0946","observed_orcids":["https://orcid.org/0000-0002-3770-0946"]},"institutions":[{"id":"https://openalex.org/I182997119","display_name":"Manonmaniam Sundaranar University","ror":"https://ror.org/02qgw5c67","country_code":"IN","type":"education","lineage":["https://openalex.org/I182997119"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. M. Arifmohammed","raw_affiliation_strings":["P.G. and Research Department of Mathematics, V.O. Chidambaram College (Affiliation of Manonmaiam Sundaranar University, Tirunelveli, Tamilnadu, India), Tuticorin, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"P.G. and Research Department of Mathematics, V.O. Chidambaram College (Affiliation of Manonmaiam Sundaranar University, Tirunelveli, Tamilnadu, India), Tuticorin, Tamil Nadu, India","institution_ids":["https://openalex.org/I182997119"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I182997119"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"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":0.9804999828338623,"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":0.9804999828338623,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.010099999606609344,"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"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.0012000000569969416,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalized-closed-sets","display_name":"generalized closed sets","score":0.6639999747276306},{"id":"https://openalex.org/keywords/generalized-open-sets","display_name":"generalized open sets","score":0.7039999961853027}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6294000148773193},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.6255999803543091},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5351999998092651},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4296000003814697},{"id":"https://openalex.org/C178099376","wikidata":"https://www.wikidata.org/wiki/Q7825044","display_name":"Topological tensor product","level":4,"score":0.39910000562667847},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.3977999985218048},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39640000462532043},{"id":"https://openalex.org/C142730499","wikidata":"https://www.wikidata.org/wiki/Q934367","display_name":"Function space","level":2,"score":0.39070001244544983},{"id":"https://openalex.org/C47600822","wikidata":"https://www.wikidata.org/wiki/Q7825032","display_name":"Topological dynamics","level":5,"score":0.38920000195503235},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.3804999887943268},{"id":"https://openalex.org/C10728891","wikidata":"https://www.wikidata.org/wiki/Q584521","display_name":"Homeomorphism (graph theory)","level":2,"score":0.36500000953674316},{"id":"https://openalex.org/C83177873","wikidata":"https://www.wikidata.org/wiki/Q2000555","display_name":"Category of topological spaces","level":5,"score":0.3562000095844269},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33219999074935913},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.32839998602867126},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.32249999046325684},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.31679999828338623},{"id":"https://openalex.org/C58228006","wikidata":"https://www.wikidata.org/wiki/Q1572357","display_name":"Locally convex topological vector space","level":3,"score":0.3149999976158142},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.29159998893737793},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C6419321","wikidata":"https://www.wikidata.org/wiki/Q1669863","display_name":"Compact-open topology","level":5,"score":0.2782999873161316},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.27239999175071716},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.27129998803138733},{"id":"https://openalex.org/C104331952","wikidata":"https://www.wikidata.org/wiki/Q7269463","display_name":"Quasi-open map","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C24977911","wikidata":"https://www.wikidata.org/wiki/Q1491995","display_name":"Connected space","level":3,"score":0.25850000977516174},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:ojs2.ijmaa.in:article/380","doi":null,"is_oa":true,"landing_page_url":"https://ijmaa.in/index.php/ijmaa/article/view/380","pdf_url":"https://ijmaa.in/index.php/ijmaa/article/download/380/380","source":{"id":"https://openalex.org/S7407065868","display_name":"International Journal of Mathematics And its Applications","issn_l":"2347-1557","issn":["2347-1557"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2347-1557","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ojs2.ijmaa.in:article/380","doi":null,"is_oa":true,"landing_page_url":"https://ijmaa.in/index.php/ijmaa/article/view/380","pdf_url":"https://ijmaa.in/index.php/ijmaa/article/download/380/380","source":{"id":"https://openalex.org/S7407065868","display_name":"International Journal of Mathematics And its Applications","issn_l":"2347-1557","issn":["2347-1557"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2347-1557","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2280149095","display_name":null,"funder_award_id":"2014.","funder_id":"https://openalex.org/F4320320767","funder_display_name":"University Grants Commission"}],"funders":[{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7215369264.pdf","grobid_xml":"https://content.openalex.org/works/W7215369264.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7215389297","https://openalex.org/W2303393721","https://openalex.org/W2314266678","https://openalex.org/W2065944532","https://openalex.org/W7215569969","https://openalex.org/W2963494588","https://openalex.org/W4404707401","https://openalex.org/W2773394281","https://openalex.org/W2234586111","https://openalex.org/W2237647795"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"introduce":[4,28],"$^*g":[5,23,29,33,38],"\\hat{\\alpha}$-continuous":[6,24,34,39],"maps":[7,35,40,49],"and":[8,36,44],"study":[9],"their":[10],"relation":[11],"with":[12],"various":[13],"generalized":[14],"continuous":[15],"maps.":[16,25],"We":[17,26],"also":[18],"discuss":[19],"certain":[20],"properties":[21,46],"of":[22,47],"then":[27],"\\hat{\\alpha}$-irresolute":[30],"maps,":[31],"strongly":[32],"perfectly":[37],"in":[41],"topological":[42],"spaces":[43],"some":[45],"these":[48],"are":[50],"discussed.":[51]},"counts_by_year":[],"updated_date":"2026-10-05T09:50:58.205359","created_date":"2026-10-02T00:00:00"}
