Brown's representability theorem

en

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Brown's representability theorem

Quality:

Brown's representability theorem - theorem in homotopy theory that a set-valued contravariant functor on the homotopy category of connected pointed CW-complexes is representable iff it maps wedge sums to product and homotopy pushouts to weak pullbacks. Article “Brown's representability theorem” in English Wikipedia has 15.3 points for quality (as of July 1, 2025). The article contains 6 references and 3 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 “Brown's representability theorem” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Brown's representability theorem”, its content was written by 24 registered users of English Wikipedia and edited by 26 registered Wikipedia users in all languages.

The article is cited 28 times in English Wikipedia and cited 33 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #163018 in February 2015
  • Global: #255071 in October 2004

The highest popularity rank from 2008:

  • Local (English): #935405 in February 2009
  • Global: #1461605 in March 2010

There are 2 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)
Brown's representability theorem
15.2602
2Korean (ko)
브라운 표현 정리
10.7312
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 "Brown's representability theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Brown's representability theorem
85 650
2Korean (ko)
브라운 표현 정리
786
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 "Brown's representability theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Brown's representability theorem
749
2Korean (ko)
브라운 표현 정리
5
More...

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

The highest AI

Language versions of the article "Brown's representability theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Brown's representability theorem
24
2Korean (ko)
브라운 표현 정리
2
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 "Brown's representability theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Brown's representability theorem
1
2Korean (ko)
브라운 표현 정리
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 "Brown's representability theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Brown's representability theorem
28
2Korean (ko)
브라운 표현 정리
5
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
enEnglish
Brown's representability theorem
koKorean
브라운 표현 정리

Popularity rank trends

Best Rank English:
#935405
02.2009
Global:
#1461605
03.2010

AI rank trends

Best Rank English:
#163018
02.2015
Global:
#255071
10.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Brown's representability theorem from Wikipedia articles about Spectrum, Classifying space, CW complex, Universal bundle and Eilenberg–MacLane space. Whereas reading the article about Brown's representability theorem people most often go to Wikipedia articles on Edgar H. Brown, Representable functor, Eilenberg–MacLane space, Homotopy category and Pullback.

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

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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