ファイル情報(添付) | |
タイトル |
同程度連続な写像族上の位相
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タイトル |
Topologies on Equicontinuous Families of Mappings
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タイトル 読み |
ドウテイド レンゾクナ シャゾウゾク ジョウ ノ イソウ
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著者 |
苅部 孝
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収録物名 |
島根大学教育学部紀要. 自然科学
Memoirs of the Faculty of Education, Shimane University. Natural science
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巻 | 5 |
開始ページ | 1 |
終了ページ | 7 |
収録物識別子 |
ISSN 05869943
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内容記述 |
抄録・要旨
It is well-known that equicontinuous families of mappings are important in Analysis through Ascoli's theorem. On the other hand, the topologies on them are fundamental to consider the problem when a locally equicontinuous group of transformations of a space becomes a locally compact transformation group. The problem will be treated in T. Karube [5] to which the present paper is a preliminary. Because a set-entourage uniformity on the family of all continuous mappings of a uniform space into itself must be the uniformity of compact-convergence under natural conditions (T. Karube [4]), we will set importace on the compact-open topology.
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言語 |
英語
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資源タイプ | 紀要論文 |
出版者 |
島根大学教育学部
The Faculty of Education Shimane University
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発行日 | 1971-12-20 |
アクセス権 | オープンアクセス |
関連情報 |
[NCID] AN00107941
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