Andreotti–Frankel theorem

en

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Andreotti–Frankel theorem

Quality:

Andreotti–Frankel theorem - theorem in homotopy theory that a Stein manifold of complex dimension ? admits a Morse function with critical points of index at most ? and hence homotopy-equivalent to a CW-complex of real dimension at most ?. Article "Andreotti–Frankel theorem" in English Wikipedia has 2.2 points for quality (as of July 1, 2025).

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

Since the creation of article "Andreotti–Frankel theorem", its content was written by 24 registered users of English Wikipedia and edited by 27 registered Wikipedia users in all languages.

The article is cited 7 times in English Wikipedia and cited 9 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #74126 in August 2021
  • Global: #242477 in December 2005

The highest popularity rank from 2008:

  • Local (English): #1152117 in February 2010
  • Global: #1903158 in February 2010

There are 2 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
1Swedish (sv)
Andreotti–Frankels sats
2.7228
2English (en)
Andreotti–Frankel theorem
2.2257
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 "Andreotti–Frankel theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Andreotti–Frankel theorem
21 410
2Swedish (sv)
Andreotti–Frankels sats
284
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 "Andreotti–Frankel theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Andreotti–Frankel theorem
94
2Swedish (sv)
Andreotti–Frankels sats
2
More...

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

The highest AI

Language versions of the article "Andreotti–Frankel theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Andreotti–Frankel theorem
24
2Swedish (sv)
Andreotti–Frankels sats
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 "Andreotti–Frankel theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Swedish (sv)
Andreotti–Frankels sats
1
2English (en)
Andreotti–Frankel theorem
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 "Andreotti–Frankel theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Andreotti–Frankel theorem
7
2Swedish (sv)
Andreotti–Frankels sats
2
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
enEnglish
Andreotti–Frankel theorem
svSwedish
Andreotti–Frankels sats

Popularity rank trends

Best Rank English:
#1152117
02.2010
Global:
#1903158
02.2010

AI rank trends

Best Rank English:
#74126
08.2021
Global:
#242477
12.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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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