open set
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open set
noun open sets
- 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.
- 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.
- Most generally, a member of the topology of a given topological space.
Translations
Every language
noun the set of all interior points
| 日本語 | 開集合 kaishūgō |
|---|---|
| 中文 | 開集 /开集 kāijí |
| Français | ouvert, ensemble ouvert |
| Deutsch | offene Menge |
| Ελληνικά | ανοικτό σύνολο anoiktó sýnolo |
| Русский | откры́тое мно́жество otkrýtoje mnóžestvo |
| עברית | קבוצה פתוחה kvutzá ptukhá |
Talk about this word "open set." Wiktionary, via Micwyn, micwyn.com/word/open%20set. Accessed 6 Nov. 2026. open set. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/open%20set "open set." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/open%20set.
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@misc{open_set_2026,
title = {open set},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/open%20set},
urldate = {2026-11-06}
}
