| File | |
| Title |
同程度連続な写像族上の位相
|
| Title |
Topologies on Equicontinuous Families of Mappings
|
| 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
|
| Creator |
Karube Takashi
|
| Source Title |
島根大学教育学部紀要. 自然科学
Memoirs of the Faculty of Education, Shimane University. Natural science
|
| Volume | 5 |
| Start Page | 1 |
| End Page | 7 |
| Journal Identifire |
ISSN 05869943
|
| Descriptions |
Abstract
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.
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学教育学部
The Faculty of Education Shimane University
|
| Date of Issued | 1971-12-20 |
| Access Rights | open access |
| Relation |
[NCID]
AN00107941
|
