{"id":"https://openalex.org/W2010709059","doi":"https://doi.org/10.1155/2008/527106","title":"Some Characterizations of Open, Closed, and Continuous Mappings","display_name":"Some Characterizations of Open, Closed, and Continuous Mappings","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2010709059","doi":"https://doi.org/10.1155/2008/527106","mag":"2010709059"},"language":"en","primary_location":{"id":"doi:10.1155/2008/527106","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/527106","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2008/527106.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2008/527106.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038894780","display_name":"Navpreet Singh Noorie","orcid":"https://orcid.org/0000-0003-4947-0276"},"institutions":[{"id":"https://openalex.org/I79161377","display_name":"Punjabi University","ror":"https://ror.org/00xdn8y92","country_code":"IN","type":"education","lineage":["https://openalex.org/I79161377"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Navpreet Singh Noorie","raw_affiliation_strings":["Department of Mathematics, Faculty of Physical Sciences, Punjabi University, Patiala 147002, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Physical Sciences, Punjabi University, Patiala 147002, India","institution_ids":["https://openalex.org/I79161377"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101939429","display_name":"Rajni Bala","orcid":"https://orcid.org/0000-0003-2995-3545"},"institutions":[{"id":"https://openalex.org/I79161377","display_name":"Punjabi University","ror":"https://ror.org/00xdn8y92","country_code":"IN","type":"education","lineage":["https://openalex.org/I79161377"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajni Bala","raw_affiliation_strings":["Department of Mathematics, Faculty of Physical Sciences, Punjabi University, Patiala 147002, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Physical Sciences, Punjabi University, Patiala 147002, India","institution_ids":["https://openalex.org/I79161377"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038894780"],"corresponding_institution_ids":["https://openalex.org/I79161377"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.12879005,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2008","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9763000011444092,"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":0.9763000011444092,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9171000123023987,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8578660488128662},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.7036083340644836},{"id":"https://openalex.org/keywords/open-and-closed-maps","display_name":"Open and closed maps","score":0.6650951504707336},{"id":"https://openalex.org/keywords/open-set","display_name":"Open set","score":0.613955557346344},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43693313002586365}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8578660488128662},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.7036083340644836},{"id":"https://openalex.org/C65496060","wikidata":"https://www.wikidata.org/wiki/Q2632649","display_name":"Open and closed maps","level":3,"score":0.6650951504707336},{"id":"https://openalex.org/C42357961","wikidata":"https://www.wikidata.org/wiki/Q213363","display_name":"Open set","level":2,"score":0.613955557346344},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43693313002586365}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2008/527106","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/527106","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2008/527106.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:612fafed53ab4c0dab77da8a3cd92a92","is_oa":true,"landing_page_url":"https://doaj.org/article/612fafed53ab4c0dab77da8a3cd92a92","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2008 (2008)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2008/527106","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/527106","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2008/527106.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2010709059.pdf","grobid_xml":"https://content.openalex.org/works/W2010709059.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2013544047","https://openalex.org/W2093904227"],"related_works":["https://openalex.org/W2100941997","https://openalex.org/W4293550260","https://openalex.org/W4367394211","https://openalex.org/W4375870171","https://openalex.org/W2620754580","https://openalex.org/W4236377302","https://openalex.org/W1541330370","https://openalex.org/W4283819694","https://openalex.org/W2961173803","https://openalex.org/W806486029"],"abstract_inverted_index":{"We":[0],"obtain":[1],"new":[2],"characterizations":[3],"of":[4,9,11,16,19,24,40,44,53,61],"open":[5,27],"maps":[6,13,21,30,55],"in":[7,14,22,38,49,59],"terms":[8,15,23,39,60],"closures,":[10],"closed":[12,46],"interiors,":[17],"and":[18],"continuous":[20],"interiors.":[25],"Further":[26],"(closed)":[28],"onto":[29],"f":[31,43],":":[32],"X":[33,50],"\u2192":[34],"Y":[35],"are":[36],"described":[37],"images":[41],"under":[42],"certain":[45],"(open)":[47],"sets":[48],".":[51],"Continuity":[52],"(onto)":[54],"is":[56],"also":[57],"characterized":[58],"saturated":[62],"sets.":[63]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
