Closure operator

en

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Closure operator

Quality:

Closure operator - mathematical operator. Article “Closure operator” in English Wikipedia has 35.6 points for quality (as of July 1, 2025). The article contains 11 references and 13 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.

In June 2025 the article “Closure operator” was edited by 1 authors in English Wikipedia and written by 7 authors in all languages.

Since the creation of article “Closure operator”, its content was written by 53 registered users of English Wikipedia and edited by 155 registered Wikipedia users in all languages.

The article is cited 81 times in English Wikipedia and cited 186 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #60206 in August 2022
  • Global: #29346 in March 2005

The highest popularity rank from 2008:

  • Local (English): #345468 in October 2008
  • Global: #435383 in October 2008

There are 6 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Closure operator
35.6161
2Russian (ru)
Оператор замыкания
23.0712
3Korean (ko)
폐포 연산자
18.8908
4German (de)
Hüllenoperator
17.5224
5Chinese (zh)
闭包算子
10.3085
6Hungarian (hu)
Lezárási operátor
6.5354
More...

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

Most popular in all the time

The most popular language versions of the article "Closure operator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Closure operator
261 078
2German (de)
Hüllenoperator
63 935
3Russian (ru)
Оператор замыкания
19 769
4Chinese (zh)
闭包算子
9 331
5Korean (ko)
폐포 연산자
4 829
6Hungarian (hu)
Lezárási operátor
4 773
More...

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

Most popular in June 2025

The most popular language versions of the article "Closure operator" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Closure operator
1 358
2German (de)
Hüllenoperator
143
3Russian (ru)
Оператор замыкания
45
4Chinese (zh)
闭包算子
28
5Hungarian (hu)
Lezárási operátor
15
6Korean (ko)
폐포 연산자
15
More...

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

The highest AI

Language versions of the article "Closure operator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1German (de)
Hüllenoperator
69
2English (en)
Closure operator
53
3Russian (ru)
Оператор замыкания
13
4Hungarian (hu)
Lezárási operátor
11
5Korean (ko)
폐포 연산자
5
6Chinese (zh)
闭包算子
4
More...

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

The highest AI in June 2025

Language versions of the article "Closure operator" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Hüllenoperator
5
2English (en)
Closure operator
1
3Korean (ko)
폐포 연산자
1
4Hungarian (hu)
Lezárási operátor
0
5Russian (ru)
Оператор замыкания
0
6Chinese (zh)
闭包算子
0
More...

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

The highest CI

Language versions of the article "Closure operator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Closure operator
81
2German (de)
Hüllenoperator
60
3Chinese (zh)
闭包算子
20
4Korean (ko)
폐포 연산자
12
5Russian (ru)
Оператор замыкания
9
6Hungarian (hu)
Lezárási operátor
4
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Hüllenoperator
enEnglish
Closure operator
huHungarian
Lezárási operátor
koKorean
폐포 연산자
ruRussian
Оператор замыкания
zhChinese
闭包算子

Popularity rank trends

Best Rank English:
#345468
10.2008
Global:
#435383
10.2008

AI rank trends

Best Rank English:
#60206
08.2022
Global:
#29346
03.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Closure operator from Wikipedia articles about Closure, Idempotence, Closeness, Convex hull and Monad. Whereas reading the article about Closure operator people most often go to Wikipedia articles on Kuratowski closure axioms, Closure, Power set, Galois connection and Preclosure operator.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

About WikiRank

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