Homotopy theory

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Homotopy theory

Quality:

Homotopy theory - subfield of algebraic topology dealing with structures invariant under homotopy equivalence. Article "Homotopy theory" in English Wikipedia has 42 points for quality (as of July 1, 2025). The article contains 23 references and 23 sections. The article also contains quality flaw template, which reduce quality score.

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 "Homotopy theory" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Homotopy theory", its content was written by 25 registered users of English Wikipedia and edited by 55 registered Wikipedia users in all languages.

The article is cited 281 times in English Wikipedia and cited 546 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #80621 in October 2024
  • Global: #156486 in May 2025

The highest popularity rank from 2008:

  • Local (English): #219716 in March 2021
  • Global: #382956 in March 2021

There are 7 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)
Homotopy theory
42.0156
2Portuguese (pt)
Teoria da homotopia
28.78
3Polish (pl)
Teoria homotopii
12.8819
4Arabic (ar)
نظرية التحاول
10.941
5Spanish (es)
Teoría de la homotopía
8.0449
6French (fr)
Théorie de l'homotopie
5.5938
7Dutch (nl)
Homotopietheorie
4.6156
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 "Homotopy theory" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Homotopy theory
263 238
2Polish (pl)
Teoria homotopii
23 216
3French (fr)
Théorie de l'homotopie
3 428
4Portuguese (pt)
Teoria da homotopia
3 383
5Spanish (es)
Teoría de la homotopía
2 685
6Arabic (ar)
نظرية التحاول
2 432
7Dutch (nl)
Homotopietheorie
170
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 "Homotopy theory" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Homotopy theory
2 093
2French (fr)
Théorie de l'homotopie
75
3Portuguese (pt)
Teoria da homotopia
62
4Spanish (es)
Teoría de la homotopía
41
5Polish (pl)
Teoria homotopii
33
6Arabic (ar)
نظرية التحاول
9
7Dutch (nl)
Homotopietheorie
8
More...

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

The highest AI

Language versions of the article "Homotopy theory" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Homotopy theory
25
2Polish (pl)
Teoria homotopii
8
3Portuguese (pt)
Teoria da homotopia
7
4Spanish (es)
Teoría de la homotopía
6
5Arabic (ar)
نظرية التحاول
4
6French (fr)
Théorie de l'homotopie
4
7Dutch (nl)
Homotopietheorie
1
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 "Homotopy theory" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Homotopy theory
1
2Arabic (ar)
نظرية التحاول
0
3Spanish (es)
Teoría de la homotopía
0
4French (fr)
Théorie de l'homotopie
0
5Dutch (nl)
Homotopietheorie
0
6Polish (pl)
Teoria homotopii
0
7Portuguese (pt)
Teoria da homotopia
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 "Homotopy theory" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Homotopy theory
281
2Polish (pl)
Teoria homotopii
133
3Arabic (ar)
نظرية التحاول
82
4French (fr)
Théorie de l'homotopie
15
5Portuguese (pt)
Teoria da homotopia
14
6Dutch (nl)
Homotopietheorie
13
7Spanish (es)
Teoría de la homotopía
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
arArabic
نظرية التحاول
enEnglish
Homotopy theory
esSpanish
Teoría de la homotopía
frFrench
Théorie de l'homotopie
nlDutch
Homotopietheorie
plPolish
Teoria homotopii
ptPortuguese
Teoria da homotopia

Popularity rank trends

Best Rank English:
#219716
03.2021
Global:
#382956
03.2021

AI rank trends

Best Rank English:
#80621
10.2024
Global:
#156486
05.2025

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Homotopy theory from Wikipedia articles about Homotopy type theory, Peter Hilton, Higher category theory, Simplicial complex and Frank Adams. Whereas reading the article about Homotopy theory people most often go to Wikipedia articles on Homotopy, A¹ homotopy theory, Algebraic topology, Higher category theory and Seifert–van Kampen 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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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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