{"id":"https://openalex.org/W2793304552","doi":"https://doi.org/10.15672/hjms.2017.508","title":"Comparison of some set open and uniform topologies and some properties of the restriction map","display_name":"Comparison of some set open and uniform topologies and some properties of the restriction map","publication_year":2017,"publication_date":"2017-09-21","ids":{"openalex":"https://openalex.org/W2793304552","doi":"https://doi.org/10.15672/hjms.2017.508","mag":"2793304552"},"language":"en","primary_location":{"id":"doi:10.15672/hjms.2017.508","doi":"https://doi.org/10.15672/hjms.2017.508","is_oa":false,"landing_page_url":"https://doi.org/10.15672/hjms.2017.508","pdf_url":null,"source":{"id":"https://openalex.org/S4210188591","display_name":"Hacettepe Journal of Mathematics and Statistics","issn_l":"1303-5010","issn":["1303-5010","2651-477X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","norway-1","poland-40","russia-white-list-2","tr-dizin"],"host_organization":"https://openalex.org/P4310318412","host_organization_name":"Hacettepe University","host_organization_lineage":["https://openalex.org/P4310318412"],"host_organization_lineage_names":["Hacettepe University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hacettepe Journal of Mathematics and Statistics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dergipark.org.tr/tr/pub/hujms/issue/43219/524291","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001041431","display_name":"Lamia Harkat","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lamia Harkat","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109415053","display_name":"Abderrahmane Bouchair","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abderrahmane Bouchair","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5034819240","display_name":"Smail Kelaiaia","orcid":"https://orcid.org/0000-0002-7097-6899","observed_orcids":["https://orcid.org/0000-0002-7097-6899"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Smail Kelaiaia","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":0.8199,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70369804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"48","issue":"2","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":0.6054999828338623,"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":0.6054999828338623,"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":0.31709998846054077,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.0066999997943639755,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniform-topology","display_name":"uniform topology","score":0.9810000061988831},{"id":"https://openalex.org/keywords/spaces-of-continuous-functions","display_name":"spaces of continuous functions","score":0.6850000023841858},{"id":"https://openalex.org/keywords/restriction-map","display_name":"restriction map","score":0.7509999871253967},{"id":"https://openalex.org/keywords/tychonoff-spaces","display_name":"Tychonoff spaces","score":0.9100000262260437}],"concepts":[{"id":"https://openalex.org/C87142424","wikidata":"https://www.wikidata.org/wiki/Q1191433","display_name":"Tychonoff space","level":3,"score":0.8631637096405029},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8385010957717896},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7220991253852844},{"id":"https://openalex.org/C43494777","wikidata":"https://www.wikidata.org/wiki/Q1193403","display_name":"Regular space","level":3,"score":0.6019061803817749},{"id":"https://openalex.org/C17327563","wikidata":"https://www.wikidata.org/wiki/Q1991405","display_name":"Nowhere dense set","level":3,"score":0.5549274682998657},{"id":"https://openalex.org/C42357961","wikidata":"https://www.wikidata.org/wiki/Q213363","display_name":"Open set","level":2,"score":0.5402142405509949},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5343401432037354},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5312392711639404},{"id":"https://openalex.org/C2779832538","wikidata":"https://www.wikidata.org/wiki/Q2308809","display_name":"Coincidence","level":3,"score":0.5282014012336731},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5024940967559814},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5000755786895752},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.47182661294937134},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45945459604263306},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.45179226994514465},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4433022141456604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17806768417358398},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05826842784881592},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.15672/hjms.2017.508","doi":"https://doi.org/10.15672/hjms.2017.508","is_oa":false,"landing_page_url":"https://doi.org/10.15672/hjms.2017.508","pdf_url":null,"source":{"id":"https://openalex.org/S4210188591","display_name":"Hacettepe Journal of Mathematics and Statistics","issn_l":"1303-5010","issn":["1303-5010","2651-477X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","norway-1","poland-40","russia-white-list-2","tr-dizin"],"host_organization":"https://openalex.org/P4310318412","host_organization_name":"Hacettepe University","host_organization_lineage":["https://openalex.org/P4310318412"],"host_organization_lineage_names":["Hacettepe University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hacettepe Journal of Mathematics and Statistics","raw_type":"journal-article"},{"id":"pmh:oai:dergipark.org.tr:article/524291","doi":null,"is_oa":true,"landing_page_url":"https://dergipark.org.tr/tr/pub/hujms/issue/43219/524291","pdf_url":"https://dergipark.org.tr/tr/pub/hujms/issue/43219/524291","source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dergipark.gov.tr:article/524291","doi":null,"is_oa":false,"landing_page_url":"http://dergipark.gov.tr/hujms/issue/43219/524291","pdf_url":null,"source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\\n Volume: 48, Issue: 1\\n 17-27\\n \\n","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dergipark.org.tr:article/524291","doi":null,"is_oa":true,"landing_page_url":"https://dergipark.org.tr/tr/pub/hujms/issue/43219/524291","pdf_url":"https://dergipark.org.tr/tr/pub/hujms/issue/43219/524291","source":{"id":"https://openalex.org/S4306401840","display_name":"DergiPark (Istanbul University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67581229","host_organization_name":"Istanbul University","host_organization_lineage":["https://openalex.org/I67581229"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321861","display_name":"Gazi \u00dcniversitesi","ror":"https://ror.org/054xkpr46"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2793304552.pdf","grobid_xml":"https://content.openalex.org/works/W2793304552.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W612838396","https://openalex.org/W1993204949","https://openalex.org/W2970778774"],"related_works":["https://openalex.org/W7008742157","https://openalex.org/W2022641482","https://openalex.org/W2797230686","https://openalex.org/W7099199033","https://openalex.org/W2015401144","https://openalex.org/W2912810423","https://openalex.org/W1973900480","https://openalex.org/W1796955350","https://openalex.org/W2055748071","https://openalex.org/W1996869074"],"abstract_inverted_index":{"Let":[0],"$X$":[1,20],"be":[2,12],"a":[3,28,47,57,61],"Tychonoff":[4],"space,":[5],"$Y$":[6],"an":[7],"equiconnected":[8],"space":[9,63],"and":[10,36,70,82],"$C(X,Y)$":[11,40,81],"the":[13,31,68,71,74,87],"set":[14,34,88],"of":[15,33,51,54,60,73],"all":[16],"continuous":[17],"functions":[18],"from":[19],"to":[21],"$Y$.":[22],"In":[23],"this":[24],"paper,":[25],"we":[26,65],"provide":[27],"criterion":[29],"for":[30],"coincidence":[32],"open":[35,89],"uniform":[37],"topologies":[38,43],"on":[39],"when":[41,79],"these":[42],"are":[44,84],"defined":[45],"by":[46],"family":[48],"$\\\\alpha$":[49],"consisting":[50],"$Y$-compact":[52],"subsets":[53],"$X$.":[55],"For":[56],"subspace":[58],"$Z$":[59],"topological":[62],"$X$,":[64],"also":[66],"study":[67],"continuity":[69],"openness":[72],"restriction":[75],"map":[76],"$\\\\pi_{Z}:C(X,Y)\\\\rightarrow":[77],"C(Z,Y)$":[78],"both":[80],"$C(Z,Y)$":[83],"endowed":[85],"with":[86],"topology.":[90]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2018-03-29T00:00:00"}
