Lefschetz fixed-point theorem

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Lefschetz fixed-point theorem

Quality:

Lefschetz fixed-point theorem - theorem. Article "Lefschetz fixed-point theorem" in English Wikipedia has 23.6 points for quality (as of July 1, 2025). The article contains 8 references and 9 sections. The article also contains quality flaw template, which reduce quality score.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Lefschetz fixed-point theorem", its content was written by 52 registered users of English Wikipedia and edited by 122 registered Wikipedia users in all languages.

The article is cited 67 times in English Wikipedia and cited 177 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #35884 in April 2004
  • Global: #70618 in April 2004

The highest popularity rank from 2008:

  • Local (English): #352961 in July 2013
  • Global: #527462 in July 2013

There are 10 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)
Lefschetz fixed-point theorem
23.605
2Polish (pl)
Twierdzenie Lefschetza o punkcie stałym
20.1056
3Catalan (ca)
Teorema del punt fix de Lefschetz
18.0495
4French (fr)
Théorème du point fixe de Lefschetz
15.4799
5German (de)
Fixpunktsatz von Lefschetz
15.4629
6Korean (ko)
렙셰츠 수
12.7517
7Ukrainian (uk)
Теорема Лефшеца про нерухому точку
12.7106
8Japanese (ja)
レフシェッツ不動点定理
10.8504
9Spanish (es)
Teorema del punto fijo de Lefschetz
7.6236
10Russian (ru)
Число Лефшеца
5.4887
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 "Lefschetz fixed-point theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lefschetz fixed-point theorem
249 545
2German (de)
Fixpunktsatz von Lefschetz
18 586
3Japanese (ja)
レフシェッツ不動点定理
15 632
4Russian (ru)
Число Лефшеца
15 406
5Spanish (es)
Teorema del punto fijo de Lefschetz
13 391
6French (fr)
Théorème du point fixe de Lefschetz
13 086
7Korean (ko)
렙셰츠 수
4 788
8Polish (pl)
Twierdzenie Lefschetza o punkcie stałym
563
9Catalan (ca)
Teorema del punt fix de Lefschetz
320
10Ukrainian (uk)
Теорема Лефшеца про нерухому точку
282
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 "Lefschetz fixed-point theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Lefschetz fixed-point theorem
1 637
2Japanese (ja)
レフシェッツ不動点定理
98
3French (fr)
Théorème du point fixe de Lefschetz
62
4Russian (ru)
Число Лефшеца
59
5German (de)
Fixpunktsatz von Lefschetz
47
6Spanish (es)
Teorema del punto fijo de Lefschetz
31
7Korean (ko)
렙셰츠 수
16
8Polish (pl)
Twierdzenie Lefschetza o punkcie stałym
12
9Ukrainian (uk)
Теорема Лефшеца про нерухому точку
9
10Catalan (ca)
Teorema del punt fix de Lefschetz
6
More...

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

The highest AI

Language versions of the article "Lefschetz fixed-point theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lefschetz fixed-point theorem
52
2German (de)
Fixpunktsatz von Lefschetz
21
3Russian (ru)
Число Лефшеца
13
4Japanese (ja)
レフシェッツ不動点定理
8
5French (fr)
Théorème du point fixe de Lefschetz
7
6Spanish (es)
Teorema del punto fijo de Lefschetz
6
7Polish (pl)
Twierdzenie Lefschetza o punkcie stałym
6
8Catalan (ca)
Teorema del punt fix de Lefschetz
3
9Korean (ko)
렙셰츠 수
3
10Ukrainian (uk)
Теорема Лефшеца про нерухому точку
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 "Lefschetz fixed-point theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Teorema del punt fix de Lefschetz
0
2German (de)
Fixpunktsatz von Lefschetz
0
3English (en)
Lefschetz fixed-point theorem
0
4Spanish (es)
Teorema del punto fijo de Lefschetz
0
5French (fr)
Théorème du point fixe de Lefschetz
0
6Japanese (ja)
レフシェッツ不動点定理
0
7Korean (ko)
렙셰츠 수
0
8Polish (pl)
Twierdzenie Lefschetza o punkcie stałym
0
9Russian (ru)
Число Лефшеца
0
10Ukrainian (uk)
Теорема Лефшеца про нерухому точку
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 "Lefschetz fixed-point theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Lefschetz fixed-point theorem
67
2Catalan (ca)
Teorema del punt fix de Lefschetz
17
3French (fr)
Théorème du point fixe de Lefschetz
17
4Spanish (es)
Teorema del punto fijo de Lefschetz
15
5Japanese (ja)
レフシェッツ不動点定理
15
6Korean (ko)
렙셰츠 수
15
7German (de)
Fixpunktsatz von Lefschetz
14
8Russian (ru)
Число Лефшеца
9
9Polish (pl)
Twierdzenie Lefschetza o punkcie stałym
4
10Ukrainian (uk)
Теорема Лефшеца про нерухому точку
4
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
caCatalan
Teorema del punt fix de Lefschetz
deGerman
Fixpunktsatz von Lefschetz
enEnglish
Lefschetz fixed-point theorem
esSpanish
Teorema del punto fijo de Lefschetz
frFrench
Théorème du point fixe de Lefschetz
jaJapanese
レフシェッツ不動点定理
koKorean
렙셰츠 수
plPolish
Twierdzenie Lefschetza o punkcie stałym
ruRussian
Число Лефшеца
ukUkrainian
Теорема Лефшеца про нерухому точку

Popularity rank trends

Best Rank English:
#352961
07.2013
Global:
#527462
07.2013

AI rank trends

Best Rank English:
#35884
04.2004
Global:
#70618
04.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Lefschetz fixed-point theorem from Wikipedia articles about Fixed-point theorem, Brouwer fixed-point theorem, Solomon Lefschetz, Hairy ball theorem and Poincaré–Hopf theorem. Whereas reading the article about Lefschetz fixed-point theorem people most often go to Wikipedia articles on Fixed-point index, Solomon Lefschetz, Triangulation, Poincaré–Hopf theorem and Fixed-point theorem.

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

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