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