Sheaf (mathematics)

en

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Sheaf (mathematics)

Quality:

Sheaf - collection of objects associated to subsets of a space in a manner admitting gluing and restriction. Article “Sheaf (mathematics)” in English Wikipedia has 42.1 points for quality (as of July 1, 2025). The article contains 24 references and 23 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 4.68 points.

This article has the best quality in Chinese Wikipedia. However, this article is the most popular in English version.

In June 2025 the article “Sheaf (mathematics)” was edited by 3 authors in English Wikipedia and written by 9 authors in all languages.

Since the creation of article “Sheaf (mathematics)”, its content was written by 203 registered users of English Wikipedia and edited by 579 registered Wikipedia users in all languages.

The article is cited 558 times in English Wikipedia and cited 1473 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #707 in November 2003
  • Global: #4429 in November 2003

The highest popularity rank from 2008:

  • Local (English): #84579 in April 2025
  • Global: #112365 in February 2024

There are 24 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
1Chinese (zh)
层 (数学)
53.3772
2English (en)
Sheaf (mathematics)
42.123
3Greek (el)
Δεμάτιο (μαθηματικά)
38.0282
4French (fr)
Faisceau (mathématiques)
34.2191
5Ukrainian (uk)
Пучок (математика)
33.1288
6Korean (ko)
층 (수학)
31.8033
7Russian (ru)
Пучок (математика)
27.8704
8Polish (pl)
Snop (matematyka)
24.1504
9Hebrew (he)
אלומה (מתמטיקה)
23.1301
10German (de)
Garbe (Mathematik)
22.073
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 "Sheaf (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sheaf (mathematics)
1 363 325
2Japanese (ja)
層 (数学)
193 346
3German (de)
Garbe (Mathematik)
123 653
4French (fr)
Faisceau (mathématiques)
103 060
5Russian (ru)
Пучок (математика)
79 195
6Italian (it)
Fascio (teoria delle categorie)
40 923
7Chinese (zh)
层 (数学)
39 334
8Korean (ko)
층 (수학)
26 484
9Hebrew (he)
אלומה (מתמטיקה)
21 874
10Polish (pl)
Snop (matematyka)
13 150
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 "Sheaf (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Sheaf (mathematics)
10 455
2Japanese (ja)
層 (数学)
986
3French (fr)
Faisceau (mathématiques)
795
4German (de)
Garbe (Mathematik)
712
5Russian (ru)
Пучок (математика)
515
6Chinese (zh)
层 (数学)
388
7Italian (it)
Fascio (teoria delle categorie)
213
8Korean (ko)
층 (수학)
138
9Polish (pl)
Snop (matematyka)
97
10Turkish (tr)
Deste (topoloji)
96
More...

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

The highest AI

Language versions of the article "Sheaf (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sheaf (mathematics)
203
2French (fr)
Faisceau (mathématiques)
67
3German (de)
Garbe (Mathematik)
61
4Hebrew (he)
אלומה (מתמטיקה)
39
5Italian (it)
Fascio (teoria delle categorie)
38
6Japanese (ja)
層 (数学)
37
7Russian (ru)
Пучок (математика)
28
8Chinese (zh)
层 (数学)
20
9Korean (ko)
층 (수학)
16
10Swedish (sv)
Kärve (matematik)
10
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 "Sheaf (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Sheaf (mathematics)
3
2Japanese (ja)
層 (数学)
2
3French (fr)
Faisceau (mathématiques)
1
4Korean (ko)
층 (수학)
1
5Ukrainian (uk)
Пучок (математика)
1
6Chinese (zh)
层 (数学)
1
7Arabic (ar)
حزمة (رياضيات)
0
8Catalan (ca)
Feix (matemàtiques)
0
9German (de)
Garbe (Mathematik)
0
10Greek (el)
Δεμάτιο (μαθηματικά)
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 "Sheaf (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Sheaf (mathematics)
558
2Japanese (ja)
層 (数学)
126
3German (de)
Garbe (Mathematik)
113
4Russian (ru)
Пучок (математика)
106
5Korean (ko)
층 (수학)
98
6Hebrew (he)
אלומה (מתמטיקה)
80
7French (fr)
Faisceau (mathématiques)
79
8Chinese (zh)
层 (数学)
77
9Serbian (sr)
Snop (matematika)
52
10Ukrainian (uk)
Пучок (математика)
38
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
حزمة (رياضيات)
caCatalan
Feix (matemàtiques)
deGerman
Garbe (Mathematik)
elGreek
Δεμάτιο (μαθηματικά)
enEnglish
Sheaf (mathematics)
eoEsperanto
Garbo (matematiko)
esSpanish
Haces (herramienta matemática)
euBasque
Sorta
faPersian
بافه (ریاضیات)
fiFinnish
Esilyhde ja lyhde
frFrench
Faisceau (mathématiques)
heHebrew
אלומה (מתמטיקה)
itItalian
Fascio (teoria delle categorie)
jaJapanese
層 (数学)
koKorean
층 (수학)
noNorwegian
Knippe (matematikk)
plPolish
Snop (matematyka)
ruRussian
Пучок (математика)
srSerbian
Snop (matematika)
svSwedish
Kärve (matematik)
trTurkish
Deste (topoloji)
ukUkrainian
Пучок (математика)
viVietnamese
Bó (toán học)
zhChinese
层 (数学)

Popularity rank trends

Best Rank English:
#84579
04.2025
Global:
#112365
02.2024

AI rank trends

Best Rank English:
#707
11.2003
Global:
#4429
11.2003

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 Sheaf from Wikipedia articles about Topos, Alexander Grothendieck, Sheaf cohomology, Ringed space and Sheaf. Whereas reading the article about Sheaf people most often go to Wikipedia articles on Grothendieck topology, Presheaf, Category, Sheaf cohomology and Ringed space.

Cumulative results of quality and popularity of the Wikipedia article

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

eu: Sorta

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

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