{"id":"https://openalex.org/W7215348785","doi":null,"title":"ON a-OPEN SETS IN A TOPOLOGICAL SPACE","display_name":"ON a-OPEN SETS IN A TOPOLOGICAL SPACE","publication_year":2011,"publication_date":"2011-05-29","ids":{"openalex":"https://openalex.org/W7215348785"},"language":"en","primary_location":{"id":"pmh:oai:ijma.info:article/283","doi":null,"is_oa":false,"landing_page_url":"https://ijma.info/index.php/ijma/article/view/283","pdf_url":null,"source":{"id":"https://openalex.org/S2765050259","display_name":"International Journal of Mathematical Archive","issn_l":"2229-5046","issn":["2229-5046"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2229-5046","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5013339973","display_name":"Mahendra Pal Chaudhary","orcid":"https://orcid.org/0000-0002-7329-2732","observed_orcids":["https://orcid.org/0000-0002-7329-2732"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chaudhary, *M. P.","raw_affiliation_strings":["ijma-home International Journal of Mathematical Archive"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ijma-home International Journal of Mathematical Archive","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110355962","display_name":"Vinesh Kumar","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kumar, Vinesh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"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":0.9922000169754028,"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":0.9922000169754028,"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":0.0015999999595806003,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.0015999999595806003,"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/alpha-open-sets","display_name":"\u03b1-open sets","score":0.8600000143051147},{"id":"https://openalex.org/keywords/topological-space","display_name":"topological spaces","score":0.8140000104904175},{"id":"https://openalex.org/keywords/generalized-open-sets","display_name":"generalized open sets","score":0.9110000133514404}],"concepts":[{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.6394000053405762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6313999891281128},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5590999722480774},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.551800012588501},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4332999885082245},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4194999933242798},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.4138000011444092},{"id":"https://openalex.org/C140936041","wikidata":"https://www.wikidata.org/wiki/Q1801244","display_name":"Zero-dimensional space","level":4,"score":0.4097000062465668},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40639999508857727},{"id":"https://openalex.org/C42357961","wikidata":"https://www.wikidata.org/wiki/Q213363","display_name":"Open set","level":2,"score":0.3828999996185303},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3598000109195709},{"id":"https://openalex.org/C24977911","wikidata":"https://www.wikidata.org/wiki/Q1491995","display_name":"Connected space","level":3,"score":0.33239999413490295},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.32100000977516174},{"id":"https://openalex.org/C47600822","wikidata":"https://www.wikidata.org/wiki/Q7825032","display_name":"Topological dynamics","level":5,"score":0.3197000026702881},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2971999943256378},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2906999886035919},{"id":"https://openalex.org/C174265945","wikidata":"https://www.wikidata.org/wiki/Q1142889","display_name":"Isolated point","level":4,"score":0.28850001096725464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2702000141143799},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.2662000060081482},{"id":"https://openalex.org/C109023228","wikidata":"https://www.wikidata.org/wiki/Q257272","display_name":"Separated sets","level":5,"score":0.25940001010894775}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:ijma.info:article/283","doi":null,"is_oa":false,"landing_page_url":"https://ijma.info/index.php/ijma/article/view/283","pdf_url":null,"source":{"id":"https://openalex.org/S2765050259","display_name":"International Journal of Mathematical Archive","issn_l":"2229-5046","issn":["2229-5046"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2229-5046","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7099059409","https://openalex.org/W7215614875","https://openalex.org/W2968772377","https://openalex.org/W2803424963","https://openalex.org/W7215485829","https://openalex.org/W7202244875","https://openalex.org/W2802152217","https://openalex.org/W7215379814","https://openalex.org/W7215340334","https://openalex.org/W3107231728"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,11],"this":[3],"research":[4],"article":[5],"is":[6],"to":[7,19],"explain":[8],"the":[9,20],"meaning":[10],"\uf061-open":[12],"sets,":[13],"which":[14],"would":[15],"be":[16],"more":[17],"understandable":[18],"readers.":[21]},"counts_by_year":[],"updated_date":"2026-10-03T13:16:28.481748","created_date":"2026-10-02T00:00:00"}