| Title Transcription | 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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| Title Alternative (English) | Topologies on Equicontinuous Families of Mappings
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| File | |
| language |
eng
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| Author |
Karube, Takashi
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| Description | 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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| Journal Title |
Memoirs of the Faculty of Education, Shimane University. Natural science
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| Volume | 5
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| Start Page | 1
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| End Page | 7
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| ISSN | 05869943
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| Published Date | 1971-12-20
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| NCID | AN00107941
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| Publisher | 島根大学教育学部
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| Publisher Aalternative | The Faculty of Education Shimane University
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| NII Type |
Departmental Bulletin Paper
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| OAI-PMH Set |
Faculty of Education
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| 他の一覧 |
