Brouwer fixed-point theorem

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Brouwer fixed-point theorem

Quality:

Brouwer fixed-point theorem - every continuous function on a compact set has a fixed point. Article "Brouwer fixed-point theorem" in English Wikipedia has 74.8 points for quality (as of July 1, 2025). The article contains 69 references and 32 sections.

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

In June 2025 the article "Brouwer fixed-point theorem" was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Brouwer fixed-point theorem", its content was written by 156 registered users of English Wikipedia and edited by 545 registered Wikipedia users in all languages.

The article is cited 309 times in English Wikipedia and cited 825 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #1091 in September 2001
  • Global: #1418 in September 2001

The highest popularity rank from 2008:

  • Local (English): #100469 in October 2014
  • Global: #132781 in October 2016

There are 21 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)
Brouwer fixed-point theorem
74.8269
2French (fr)
Théorème du point fixe de Brouwer
53.8739
3Korean (ko)
브라우어르 고정점 정리
46.5339
4Spanish (es)
Teorema del punto fijo de Brouwer
45.3215
5German (de)
Fixpunktsatz von Brouwer
28.4641
6Chinese (zh)
布勞威爾不動點定理
28.0563
7Hebrew (he)
משפט נקודת השבת של בראואר
22.9473
8Catalan (ca)
Teorema del punt fix de Brouwer
21.5487
9Japanese (ja)
ブラウワーの不動点定理
21.0553
10Polish (pl)
Twierdzenie Brouwera o punkcie stałym
19.7437
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 "Brouwer fixed-point theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Brouwer fixed-point theorem
1 261 152
2French (fr)
Théorème du point fixe de Brouwer
181 904
3Spanish (es)
Teorema del punto fijo de Brouwer
112 814
4Italian (it)
Teorema del punto fisso di Brouwer
101 558
5Russian (ru)
Теорема Брауэра о неподвижной точке
95 284
6German (de)
Fixpunktsatz von Brouwer
89 614
7Chinese (zh)
布勞威爾不動點定理
58 906
8Japanese (ja)
ブラウワーの不動点定理
48 957
9Hebrew (he)
משפט נקודת השבת של בראואר
33 468
10Portuguese (pt)
Teorema do ponto fixo de Brouwer
27 124
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 "Brouwer fixed-point theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Brouwer fixed-point theorem
6 211
2Russian (ru)
Теорема Брауэра о неподвижной точке
663
3French (fr)
Théorème du point fixe de Brouwer
626
4Spanish (es)
Teorema del punto fijo de Brouwer
344
5German (de)
Fixpunktsatz von Brouwer
306
6Japanese (ja)
ブラウワーの不動点定理
291
7Italian (it)
Teorema del punto fisso di Brouwer
283
8Chinese (zh)
布勞威爾不動點定理
278
9Hebrew (he)
משפט נקודת השבת של בראואר
120
10Korean (ko)
브라우어르 고정점 정리
108
More...

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

The highest AI

Language versions of the article "Brouwer fixed-point theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Brouwer fixed-point theorem
156
2French (fr)
Théorème du point fixe de Brouwer
71
3Italian (it)
Teorema del punto fisso di Brouwer
51
4German (de)
Fixpunktsatz von Brouwer
50
5Hebrew (he)
משפט נקודת השבת של בראואר
31
6Dutch (nl)
Dekpuntstelling van Brouwer
27
7Russian (ru)
Теорема Брауэра о неподвижной точке
22
8Spanish (es)
Teorema del punto fijo de Brouwer
21
9Polish (pl)
Twierdzenie Brouwera o punkcie stałym
20
10Vietnamese (vi)
Định lý Brouwer
19
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 "Brouwer fixed-point theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Brouwer fixed-point theorem
2
2French (fr)
Théorème du point fixe de Brouwer
1
3Catalan (ca)
Teorema del punt fix de Brouwer
0
4Czech (cs)
Brouwerova věta o pevném bodu
0
5German (de)
Fixpunktsatz von Brouwer
0
6Spanish (es)
Teorema del punto fijo de Brouwer
0
7Finnish (fi)
Brouwerin kiintopistelause
0
8Hebrew (he)
משפט נקודת השבת של בראואר
0
9Hungarian (hu)
Brouwer-féle fixponttétel
0
10Italian (it)
Teorema del punto fisso di Brouwer
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 "Brouwer fixed-point theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Brouwer fixed-point theorem
309
2Italian (it)
Teorema del punto fisso di Brouwer
162
3Polish (pl)
Twierdzenie Brouwera o punkcie stałym
48
4French (fr)
Théorème du point fixe de Brouwer
43
5German (de)
Fixpunktsatz von Brouwer
35
6Japanese (ja)
ブラウワーの不動点定理
27
7Korean (ko)
브라우어르 고정점 정리
25
8Hebrew (he)
משפט נקודת השבת של בראואר
23
9Spanish (es)
Teorema del punto fijo de Brouwer
22
10Russian (ru)
Теорема Брауэра о неподвижной точке
17
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 del punt fix de Brouwer
csCzech
Brouwerova věta o pevném bodu
deGerman
Fixpunktsatz von Brouwer
enEnglish
Brouwer fixed-point theorem
esSpanish
Teorema del punto fijo de Brouwer
fiFinnish
Brouwerin kiintopistelause
frFrench
Théorème du point fixe de Brouwer
heHebrew
משפט נקודת השבת של בראואר
huHungarian
Brouwer-féle fixponttétel
itItalian
Teorema del punto fisso di Brouwer
jaJapanese
ブラウワーの不動点定理
koKorean
브라우어르 고정점 정리
nlDutch
Dekpuntstelling van Brouwer
plPolish
Twierdzenie Brouwera o punkcie stałym
ptPortuguese
Teorema do ponto fixo de Brouwer
ruRussian
Теорема Брауэра о неподвижной точке
slSlovenian
Brouwerjev izrek o negibni točki
svSwedish
Brouwers fixpunktssats
ukUkrainian
Теорема Брауера про нерухому точку
viVietnamese
Định lý Brouwer
zhChinese
布勞威爾不動點定理

Popularity rank trends

Best Rank English:
#100469
10.2014
Global:
#132781
10.2016

AI rank trends

Best Rank English:
#1091
09.2001
Global:
#1418
09.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Brouwer fixed-point theorem from Wikipedia articles about Game theory, Fixed-point theorem, Luitzen Egbertus Jan Brouwer, Algebraic topology and Jordan curve theorem. Whereas reading the article about Brouwer fixed-point theorem people most often go to Wikipedia articles on Luitzen Egbertus Jan Brouwer, Fixed-point theorem, Hairy ball theorem, Kakutani fixed-point theorem and Borsuk–Ulam theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

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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