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Wiktionary英語版
出典：Wiktionary
open set
名詞
- (topology) Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.
- (topology, mathematical analysis, restricted to metric spaces) A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set.
- (topology) Most generally, a member of the topology of a given topological space.
Holonyms
関連する語
- Copyright © Benesse Holdings, Inc. All rights reserved.
- All Rights Reserved, Copyright © Japan Science and Technology Agency
- Copyright © 2026 CJKI. All Rights Reserved
- Wiktionary
- Text is available under Creative Commons Attribution-ShareAlike (CC-BY-SA) and/or GNU Free Documentation License (GFDL).
Weblio英和・和英辞典に掲載されている「Wiktionary英語版」の記事は、Wiktionaryのopen set (改訂履歴)の記事を複製、再配布したものにあたり、Creative Commons Attribution-ShareAlike (CC-BY-SA)もしくはGNU Free Documentation Licenseというライセンスの下で提供されています。
