Open set

Open set - set that does not contain any of its boundary points. Article “Open set” in English Wikipedia has 48.8 points for quality (as of July 1, 2025). The article contains 32 references and 16 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Open set”, its content was written by 152 registered users of English Wikipedia and edited by 819 registered Wikipedia users in all languages.

The article is cited 670 times in English Wikipedia and cited 4707 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #638 in April 2002
• Global: #919 in April 2002

The highest popularity rank from 2008:

• Local (English): #69238 in October 2020
• Global: #26247 in July 2016

There are 37 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Open set		48.7843
2	Korean (ko) 열린집합		34.6268
3	Estonian (et) Lahtine hulk		23.8852
4	Catalan (ca) Conjunt obert		23.611
5	Spanish (es) Conjunto abierto		23.2719
6	Croatian (hr) Otvoren skup		22.0924
7	German (de) Offene Menge		21.1097
8	Hungarian (hu) Nyílt halmaz		20.9286
9	Chinese (zh) 开集		20.5035
10	Finnish (fi) Avoin joukko		20.4762

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Open set" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Open set		2 017 628
2	German (de) Offene Menge		631 823
3	French (fr) Ouvert (topologie)		396 816
4	Spanish (es) Conjunto abierto		339 409
5	Russian (ru) Открытое множество		257 185
6	Italian (it) Insieme aperto		194 859
7	Japanese (ja) 開集合		185 666
8	Polish (pl) Zbiór otwarty		149 502
9	Chinese (zh) 开集		141 072
10	Korean (ko) 열린집합		103 871

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Open set" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Open set		6 671
2	German (de) Offene Menge		1 085
3	French (fr) Ouvert (topologie)		821
4	Russian (ru) Открытое множество		817
5	Japanese (ja) 開集合		743
6	Chinese (zh) 开集		594
7	Spanish (es) Conjunto abierto		422
8	Korean (ko) 열린집합		328
9	Italian (it) Insieme aperto		289
10	Polish (pl) Zbiór otwarty		253

More...

The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Open set" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Open set		152
2	German (de) Offene Menge		96
3	French (fr) Ouvert (topologie)		76
4	Italian (it) Insieme aperto		45
5	Dutch (nl) Open verzameling		42
6	Hebrew (he) קבוצה פתוחה		34
7	Russian (ru) Открытое множество		34
8	Spanish (es) Conjunto abierto		33
9	Polish (pl) Zbiór otwarty		31
10	Chinese (zh) 开集		28

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Open set" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Italian (it) Insieme aperto		2
2	French (fr) Ouvert (topologie)		1
3	Arabic (ar) مجموعة مفتوحة		0
4	Bulgarian (bg) Отворено множество		0
5	Catalan (ca) Conjunt obert		0
6	Czech (cs) Otevřená množina		0
7	Danish (da) Åben mængde		0
8	German (de) Offene Menge		0
9	Greek (el) Ανοικτό σύνολο		0
10	English (en) Open set		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Open set" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Open set		670
2	Korean (ko) 열린집합		480
3	Italian (it) Insieme aperto		374
4	French (fr) Ouvert (topologie)		349
5	German (de) Offene Menge		301
6	Japanese (ja) 開集合		259
7	Chinese (zh) 开集		229
8	Polish (pl) Zbiór otwarty		227
9	Spanish (es) Conjunto abierto		219
10	Ukrainian (uk) Відкрита множина		209

More...

#	Language	Value
ar	Arabic مجموعة مفتوحة
bg	Bulgarian Отворено множество
ca	Catalan Conjunt obert
cs	Czech Otevřená množina
da	Danish Åben mængde
de	German Offene Menge
el	Greek Ανοικτό σύνολο
en	English Open set
eo	Esperanto Malfermita aro
es	Spanish Conjunto abierto
et	Estonian Lahtine hulk
eu	Basque Multzo ireki
fa	Persian مجموعه باز
fi	Finnish Avoin joukko
fr	French Ouvert (topologie)
gl	Galician Conxunto aberto
he	Hebrew קבוצה פתוחה
hr	Croatian Otvoren skup
hu	Hungarian Nyílt halmaz
id	Indonesian Himpunan terbuka
it	Italian Insieme aperto
ja	Japanese 開集合
ko	Korean 열린집합
nl	Dutch Open verzameling
no	Norwegian Åpen mengde
pl	Polish Zbiór otwarty
pt	Portuguese Conjunto aberto
ro	Romanian Mulțime deschisă
ru	Russian Открытое множество
simple	Simple English Open set
sk	Slovak Otvorená množina
sl	Slovenian Odprta množica
sr	Serbian Отворен скуп
sv	Swedish Öppen mängd
uk	Ukrainian Відкрита множина
vi	Vietnamese Tập mở
zh	Chinese 开集

Best Rank

English: #69238 10.2020

Global: #26247 07.2016

Best Rank

English: #638 04.2002

Global: #919 04.2002

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information