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A note on upper continuity properties of relations
http://hdl.handle.net/10232/00031811
http://hdl.handle.net/10232/000318112566fa7e-62e6-4cc6-8401-35b51a98da34
名前 / ファイル | ライセンス | アクション |
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AA11246904_v54_p1-7 (99.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
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公開日 | 2022-01-12 | |||||||||
タイトル | ||||||||||
タイトル言語 | en | |||||||||
タイトル | A note on upper continuity properties of relations | |||||||||
著者 |
FURUSAWA, Hitoshi
× FURUSAWA, Hitoshi
× YOSHIDA, Satoru
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言語 | ||||||||||
言語 | eng | |||||||||
キーワード | ||||||||||
主題言語 | en | |||||||||
主題Scheme | Other | |||||||||
主題 | relations | |||||||||
キーワード | ||||||||||
主題言語 | en | |||||||||
主題Scheme | Other | |||||||||
主題 | topological spaces | |||||||||
キーワード | ||||||||||
主題言語 | en | |||||||||
主題Scheme | Other | |||||||||
主題 | upper continuity | |||||||||
キーワード | ||||||||||
主題言語 | en | |||||||||
主題Scheme | Other | |||||||||
主題 | sequential upper continuity | |||||||||
資源タイプ | ||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
資源タイプ | departmental bulletin paper | |||||||||
要約(Abstract) | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | This note introduces a notion of upper continuity of relations and provides 5 equivalent conditions with the upper continuity. As the case of continuous functions, each condition characterlises upper continuous relations by respectively using open sets, neighbourhoods, interiors, closures, and closed sets. A notion of sequential continuity is also studied. We show a relevance between upper continuous relations and sequentially upper continuous relations which is, again, analogous to the case of functions. | |||||||||
内容記述言語 | en | |||||||||
収録雑誌名 |
ja : 鹿児島大学理学部紀要 en : Reports of the Faculty of Science, Kagoshima University 巻 54, p. 1-7, 発行日 2021-12-31 |
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作成日 | ||||||||||
日付 | 2021-12-31 | |||||||||
日付タイプ | Issued | |||||||||
ISSN | ||||||||||
収録物識別子タイプ | PISSN | |||||||||
ISSN | 13456938 | |||||||||
NII書誌ID(雑誌) | ||||||||||
収録物識別子タイプ | NCID | |||||||||
NC ID | AA11246904 | |||||||||
出版タイプ | ||||||||||
出版タイプ | VoR | |||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
NDC | ||||||||||
主題Scheme | NDC | |||||||||
主題 | 410 | |||||||||
公開者・出版者 | ||||||||||
出版者言語 | ja | |||||||||
出版者 | 鹿児島大学 | |||||||||
公開者・出版者 | ||||||||||
出版者言語 | en | |||||||||
出版者 | Kagoshima University |