Tautological bundle

en

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Tautological bundle

Quality:

Tautological bundle - vector bundle that exists on a Grassmannian by definition. Article “Tautological bundle” in English Wikipedia has 20.9 points for quality (as of July 1, 2025). The article contains 5 references and 8 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 “Tautological bundle” was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Tautological bundle”, its content was written by 31 registered users of English Wikipedia and edited by 45 registered Wikipedia users in all languages.

The article is cited 58 times in English Wikipedia and cited 77 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #63518 in August 2004
  • Global: #124035 in August 2004

The highest popularity rank from 2008:

  • Local (English): #369285 in January 2015
  • Global: #622518 in January 2015

There are 3 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)
Tautological bundle
20.8766
2Korean (ko)
보편 가역층
5.5189
3German (de)
Tautologisches Bündel
4.3335
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 "Tautological bundle" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Tautological bundle
186 210
2German (de)
Tautologisches Bündel
12 824
3Korean (ko)
보편 가역층
441
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 "Tautological bundle" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Tautological bundle
1 465
2German (de)
Tautologisches Bündel
44
3Korean (ko)
보편 가역층
9
More...

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

The highest AI

Language versions of the article "Tautological bundle" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Tautological bundle
31
2German (de)
Tautologisches Bündel
11
3Korean (ko)
보편 가역층
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 "Tautological bundle" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Tautological bundle
2
2German (de)
Tautologisches Bündel
0
3Korean (ko)
보편 가역층
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 "Tautological bundle" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Tautological bundle
58
2Korean (ko)
보편 가역층
10
3German (de)
Tautologisches Bündel
9
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
Tautologisches Bündel
enEnglish
Tautological bundle
koKorean
보편 가역층

Popularity rank trends

Best Rank English:
#369285
01.2015
Global:
#622518
01.2015

AI rank trends

Best Rank English:
#63518
08.2004
Global:
#124035
08.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Tautological bundle from Wikipedia articles about Proj construction, Line bundle, Stiefel–Whitney class, Picard group and Moduli space. Whereas reading the article about Tautological bundle people most often go to Wikipedia articles on Proj construction, Grassmannian, Universal bundle, Hopf fibration and Invertible sheaf.

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

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

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