Hopf fibration

en

WikiRank.net
ver. 1.6.2

Hopf fibration

Quality:

Hopf fibration - fiber bundle of the 3-sphere over the 2-sphere, with 1-spheres as fibers. Article “Hopf fibration” in English Wikipedia has 46.9 points for quality (as of July 1, 2025). The article contains 10 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.

Since the creation of article “Hopf fibration”, its content was written by 78 registered users of English Wikipedia and edited by 191 registered Wikipedia users in all languages.

The article is cited 69 times in English Wikipedia and cited 348 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #35723 in April 2004
  • Global: #70468 in April 2004

The highest popularity rank from 2008:

  • Local (English): #45575 in November 2018
  • Global: #88712 in November 2018

There are 11 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)
Hopf fibration
46.859
2Arabic (ar)
اهتزاز هوبف
18.3727
3German (de)
Hopf-Faserung
17.4772
4Korean (ko)
호프 올뭉치
15.3728
5Chinese (zh)
霍普夫纤维化
13.9695
6Russian (ru)
Расслоение Хопфа
11.4015
7Portuguese (pt)
Fibração de Hopf
9.6107
8Spanish (es)
Fibración de Hopf
7.4829
9Italian (it)
Fibrazione di Hopf
6.7994
10French (fr)
Fibration de Hopf
5.7651
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 "Hopf fibration" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hopf fibration
784 489
2Russian (ru)
Расслоение Хопфа
53 891
3French (fr)
Fibration de Hopf
32 740
4German (de)
Hopf-Faserung
30 814
5Italian (it)
Fibrazione di Hopf
28 596
6Chinese (zh)
霍普夫纤维化
20 077
7Spanish (es)
Fibración de Hopf
17 984
8Portuguese (pt)
Fibração de Hopf
9 348
9Korean (ko)
호프 올뭉치
7 187
10Ukrainian (uk)
Розшарування Гопфа
432
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 "Hopf fibration" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hopf fibration
6 047
2Russian (ru)
Расслоение Хопфа
322
3Spanish (es)
Fibración de Hopf
258
4German (de)
Hopf-Faserung
211
5French (fr)
Fibration de Hopf
185
6Italian (it)
Fibrazione di Hopf
168
7Chinese (zh)
霍普夫纤维化
91
8Portuguese (pt)
Fibração de Hopf
46
9Korean (ko)
호프 올뭉치
20
10Ukrainian (uk)
Розшарування Гопфа
11
More...

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

The highest AI

Language versions of the article "Hopf fibration" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hopf fibration
78
2French (fr)
Fibration de Hopf
29
3German (de)
Hopf-Faserung
27
4Italian (it)
Fibrazione di Hopf
16
5Russian (ru)
Расслоение Хопфа
14
6Portuguese (pt)
Fibração de Hopf
8
7Chinese (zh)
霍普夫纤维化
6
8Korean (ko)
호프 올뭉치
5
9Ukrainian (uk)
Розшарування Гопфа
4
10Spanish (es)
Fibración de Hopf
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 "Hopf fibration" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
اهتزاز هوبف
0
2German (de)
Hopf-Faserung
0
3English (en)
Hopf fibration
0
4Spanish (es)
Fibración de Hopf
0
5French (fr)
Fibration de Hopf
0
6Italian (it)
Fibrazione di Hopf
0
7Korean (ko)
호프 올뭉치
0
8Portuguese (pt)
Fibração de Hopf
0
9Russian (ru)
Расслоение Хопфа
0
10Ukrainian (uk)
Розшарування Гопфа
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 "Hopf fibration" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Fibrazione di Hopf
138
2English (en)
Hopf fibration
69
3German (de)
Hopf-Faserung
30
4Russian (ru)
Расслоение Хопфа
24
5Korean (ko)
호프 올뭉치
19
6French (fr)
Fibration de Hopf
18
7Spanish (es)
Fibración de Hopf
15
8Chinese (zh)
霍普夫纤维化
15
9Ukrainian (uk)
Розшарування Гопфа
13
10Portuguese (pt)
Fibração de Hopf
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
arArabic
اهتزاز هوبف
deGerman
Hopf-Faserung
enEnglish
Hopf fibration
esSpanish
Fibración de Hopf
frFrench
Fibration de Hopf
itItalian
Fibrazione di Hopf
koKorean
호프 올뭉치
ptPortuguese
Fibração de Hopf
ruRussian
Расслоение Хопфа
ukUkrainian
Розшарування Гопфа
zhChinese
霍普夫纤维化

Popularity rank trends

Best Rank English:
#45575
11.2018
Global:
#88712
11.2018

AI rank trends

Best Rank English:
#35723
04.2004
Global:
#70468
04.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hopf fibration from Wikipedia articles about Homotopy group of a sphere, Navier–Stokes equations, Topology, Bloch sphere and 3-sphere. Whereas reading the article about Hopf fibration people most often go to Wikipedia articles on Fiber bundle, Villarceau circles, Hopf invariant, 3-sphere and Heinz Hopf.

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 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

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