Closed graph theorem

en

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Closed graph theorem

Quality:

Closed graph theorem - theorem. Article “Closed graph theorem” in English Wikipedia has 33.6 points for quality (as of July 1, 2025). The article contains 10 references and 10 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 “Closed graph theorem”, its content was written by 52 registered users of English Wikipedia and edited by 222 registered Wikipedia users in all languages.

The article is cited 95 times in English Wikipedia and cited 410 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #36396 in March 2004
  • Global: #51880 in July 2012

The highest popularity rank from 2008:

  • Local (English): #381410 in November 2012
  • Global: #455794 in November 2014

There are 17 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)
Closed graph theorem
33.5831
2French (fr)
Théorème du graphe fermé
24.9719
3Portuguese (pt)
Teorema do gráfico fechado
23.2349
4Spanish (es)
Teorema de la gráfica cerrada
21.1056
5German (de)
Satz vom abgeschlossenen Graphen
19.5113
6Catalan (ca)
Teorema de la gràfica tancada
18.1018
7Polish (pl)
Twierdzenie o wykresie domkniętym
12.3179
8Italian (it)
Teorema del grafico chiuso
9.4831
9Korean (ko)
닫힌 그래프 정리
7.8032
10Chinese (zh)
閉圖像定理
6.0227
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 "Closed graph theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Closed graph theorem
277 159
2French (fr)
Théorème du graphe fermé
43 107
3German (de)
Satz vom abgeschlossenen Graphen
30 132
4Polish (pl)
Twierdzenie o wykresie domkniętym
18 362
5Italian (it)
Teorema del grafico chiuso
18 027
6Spanish (es)
Teorema de la gráfica cerrada
17 773
7Chinese (zh)
閉圖像定理
16 946
8Russian (ru)
Теорема о замкнутом графике
16 667
9Japanese (ja)
閉グラフ定理
15 208
10Portuguese (pt)
Teorema do gráfico fechado
8 352
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 "Closed graph theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Closed graph theorem
1 059
2Japanese (ja)
閉グラフ定理
109
3French (fr)
Théorème du graphe fermé
80
4Chinese (zh)
閉圖像定理
79
5German (de)
Satz vom abgeschlossenen Graphen
75
6Polish (pl)
Twierdzenie o wykresie domkniętym
61
7Italian (it)
Teorema del grafico chiuso
55
8Russian (ru)
Теорема о замкнутом графике
49
9Spanish (es)
Teorema de la gráfica cerrada
47
10Portuguese (pt)
Teorema do gráfico fechado
29
More...

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

The highest AI

Language versions of the article "Closed graph theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Closed graph theorem
52
2French (fr)
Théorème du graphe fermé
34
3Italian (it)
Teorema del grafico chiuso
30
4German (de)
Satz vom abgeschlossenen Graphen
24
5Russian (ru)
Теорема о замкнутом графике
17
6Dutch (nl)
Stelling van de gesloten grafiek
11
7Polish (pl)
Twierdzenie o wykresie domkniętym
9
8Danish (da)
Sætningen om lukkede grafer
8
9Ukrainian (uk)
Теорема Банаха про замкнений графік
7
10Japanese (ja)
閉グラフ定理
6
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 "Closed graph theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Teorema de la gràfica tancada
0
2Danish (da)
Sætningen om lukkede grafer
0
3German (de)
Satz vom abgeschlossenen Graphen
0
4English (en)
Closed graph theorem
0
5Spanish (es)
Teorema de la gráfica cerrada
0
6French (fr)
Théorème du graphe fermé
0
7Italian (it)
Teorema del grafico chiuso
0
8Japanese (ja)
閉グラフ定理
0
9Korean (ko)
닫힌 그래프 정리
0
10Dutch (nl)
Stelling van de gesloten grafiek
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 "Closed graph theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
閉圖像定理
101
2English (en)
Closed graph theorem
95
3French (fr)
Théorème du graphe fermé
63
4Japanese (ja)
閉グラフ定理
52
5Spanish (es)
Teorema de la gráfica cerrada
18
6Korean (ko)
닫힌 그래프 정리
16
7German (de)
Satz vom abgeschlossenen Graphen
15
8Italian (it)
Teorema del grafico chiuso
10
9Catalan (ca)
Teorema de la gràfica tancada
8
10Polish (pl)
Twierdzenie o wykresie domkniętym
8
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
caCatalan
Teorema de la gràfica tancada
daDanish
Sætningen om lukkede grafer
deGerman
Satz vom abgeschlossenen Graphen
enEnglish
Closed graph theorem
esSpanish
Teorema de la gráfica cerrada
frFrench
Théorème du graphe fermé
itItalian
Teorema del grafico chiuso
jaJapanese
閉グラフ定理
koKorean
닫힌 그래프 정리
nlDutch
Stelling van de gesloten grafiek
plPolish
Twierdzenie o wykresie domkniętym
ptPortuguese
Teorema do gráfico fechado
ruRussian
Теорема о замкнутом графике
srSerbian
Теорема о затвореном графику
svSwedish
Satsen om den slutna grafen
ukUkrainian
Теорема Банаха про замкнений графік
zhChinese
閉圖像定理

Popularity rank trends

Best Rank English:
#381410
11.2012
Global:
#455794
11.2014

AI rank trends

Best Rank English:
#36396
03.2004
Global:
#51880
07.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Closed graph theorem from Wikipedia articles about Spectrum, Closed graph theorem, Baire category theorem, Open graph and Functional analysis. Whereas reading the article about Closed graph theorem people most often go to Wikipedia articles on Closed graph theorem, Open mapping theorem, Open mapping theorem, F-space and Open graph.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 February 2026

On 28 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ali Khamenei, Iran, Ruhollah Khomeini, Jeffrey Epstein, Supreme Leader of Iran, Mohammad Reza I of Iran, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Masoud Pezeshkian, Resident Evil Requiem.

In English Wikipedia the most popular articles on that day were: Ali Khamenei, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Iran, Ruhollah Khomeini, Iran–Israel conflict, Supreme Leader of Iran, Scream 7, Elimination Chamber (2026), World War III.

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