Pullback (category theory)

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Pullback (category theory)

Quality:

Pullback - category-theoretic limit of a diagram of the form ?→?←?. Article “Pullback (category theory)” in English Wikipedia has 43.3 points for quality (as of July 1, 2025). The article contains 8 references and 15 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 “Pullback (category theory)” was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Pullback (category theory)”, its content was written by 72 registered users of English Wikipedia and edited by 175 registered Wikipedia users in all languages.

The article is cited 183 times in English Wikipedia and cited 649 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #55827 in December 2003
  • Global: #79071 in December 2003

The highest popularity rank from 2008:

  • Local (English): #288760 in October 2024
  • Global: #386464 in January 2015

There are 13 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)
Pullback (category theory)
43.2806
2German (de)
Faserprodukt
37.4003
3Chinese (zh)
拉回 (范畴论)
20.2248
4Portuguese (pt)
Produto fibrado
18.0513
5Japanese (ja)
引き戻し (圏論)
15.3217
6Hebrew (he)
מכפלת סיבים
13.8635
7Korean (ko)
당김 (범주론)
13.5936
8Ukrainian (uk)
Розшарований добуток
12.8526
9French (fr)
Produit fibré
8.5327
10Polish (pl)
Produkt włóknisty
8.2746
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 "Pullback (category theory)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Pullback (category theory)
494 451
2Russian (ru)
Расслоённое произведение
39 008
3German (de)
Faserprodukt
35 402
4French (fr)
Produit fibré
29 231
5Japanese (ja)
引き戻し (圏論)
28 213
6Chinese (zh)
拉回 (范畴论)
11 202
7Portuguese (pt)
Produto fibrado
9 448
8Korean (ko)
당김 (범주론)
3 290
9Norwegian (no)
Fiberprodukt
1 561
10Persian (fa)
عقب‌بر (نظریه رسته‌ها)
911
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 "Pullback (category theory)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Pullback (category theory)
3 143
2Japanese (ja)
引き戻し (圏論)
436
3German (de)
Faserprodukt
158
4French (fr)
Produit fibré
155
5Russian (ru)
Расслоённое произведение
110
6Chinese (zh)
拉回 (范畴论)
62
7Portuguese (pt)
Produto fibrado
36
8Hebrew (he)
מכפלת סיבים
22
9Korean (ko)
당김 (범주론)
22
10Ukrainian (uk)
Розшарований добуток
16
More...

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

The highest AI

Language versions of the article "Pullback (category theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Pullback (category theory)
72
2German (de)
Faserprodukt
31
3French (fr)
Produit fibré
22
4Portuguese (pt)
Produto fibrado
10
5Norwegian (no)
Fiberprodukt
8
6Russian (ru)
Расслоённое произведение
8
7Hebrew (he)
מכפלת סיבים
7
8Korean (ko)
당김 (범주론)
4
9Polish (pl)
Produkt włóknisty
4
10Japanese (ja)
引き戻し (圏論)
3
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 "Pullback (category theory)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Faserprodukt
2
2English (en)
Pullback (category theory)
1
3Persian (fa)
عقب‌بر (نظریه رسته‌ها)
0
4French (fr)
Produit fibré
0
5Hebrew (he)
מכפלת סיבים
0
6Japanese (ja)
引き戻し (圏論)
0
7Korean (ko)
당김 (범주론)
0
8Norwegian (no)
Fiberprodukt
0
9Polish (pl)
Produkt włóknisty
0
10Portuguese (pt)
Produto fibrado
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 "Pullback (category theory)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Pullback (category theory)
183
2French (fr)
Produit fibré
105
3Japanese (ja)
引き戻し (圏論)
95
4German (de)
Faserprodukt
78
5Korean (ko)
당김 (범주론)
51
6Chinese (zh)
拉回 (范畴论)
46
7Portuguese (pt)
Produto fibrado
33
8Persian (fa)
عقب‌بر (نظریه رسته‌ها)
20
9Russian (ru)
Расслоённое произведение
20
10Ukrainian (uk)
Розшарований добуток
10
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
Faserprodukt
enEnglish
Pullback (category theory)
faPersian
عقب‌بر (نظریه رسته‌ها)
frFrench
Produit fibré
heHebrew
מכפלת סיבים
jaJapanese
引き戻し (圏論)
koKorean
당김 (범주론)
noNorwegian
Fiberprodukt
plPolish
Produkt włóknisty
ptPortuguese
Produto fibrado
ruRussian
Расслоённое произведение
ukUkrainian
Розшарований добуток
zhChinese
拉回 (范畴论)

Popularity rank trends

Best Rank English:
#288760
10.2024
Global:
#386464
01.2015

AI rank trends

Best Rank English:
#55827
12.2003
Global:
#79071
12.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Pullback from Wikipedia articles about Pullback, Pushout, Cartesian product, Limit and Pull back. Whereas reading the article about Pullback people most often go to Wikipedia articles on Pushout, Limit, Pullback, Fiber product of schemes 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 10 March 2026

On 10 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Iran, Mojtaba Khamenei, Enhypen, Ali Khamenei, Strait of Hormuz, Jeffrey Epstein, 2026 Iran war, 2026 World Baseball Classic, Donald Trump, World Baseball Classic.

In English Wikipedia the most popular articles on that day were: 2026 Iran war, Mojtaba Khamenei, Deaths in 2026, Ali Khamenei, War Machine (upcoming film), Enhypen, Jennifer Runyon, Pete Hegseth, 2026 World Baseball Classic, Iran.

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