Simpliziale Approximation

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Simpliziale Approximation

Quality:

Simplicial approximation theorem - in algebraic topology, a theorem that a continuous map between (geometric realizations of) simplicial complexes is homotopy-equivalent to a simplicial map between subdivisions of the simplicial complexes. Article “Simpliziale Approximation” in German Wikipedia has 5.9 points for quality (as of July 1, 2025). The article contains 0 references and 5 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (German) language version.

Since the creation of article “Simpliziale Approximation”, its content was written by 5 registered users of German Wikipedia and edited by 41 registered Wikipedia users in all languages.

The article is cited 8 times in German Wikipedia and cited 23 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #30406 in April 2018
  • Global: #132590 in April 2004

The highest popularity rank from 2008:

  • Local (German): #763981 in March 2020
  • Global: #1752935 in March 2014

There are 5 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)
Simplicial approximation theorem
6.3462
2German (de)
Simpliziale Approximation
5.9102
3Polish (pl)
Twierdzenie o aproksymacji symplicjalnej
5.6377
4Ukrainian (uk)
Теорема про симпліційне наближення
4.7787
5Italian (it)
Teorema dell'approssimazione simpliciale
2.0951
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 "Simpliziale Approximation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Simplicial approximation theorem
46 590
2German (de)
Simpliziale Approximation
2 467
3Italian (it)
Teorema dell'approssimazione simpliciale
2 194
4Polish (pl)
Twierdzenie o aproksymacji symplicjalnej
879
5Ukrainian (uk)
Теорема про симпліційне наближення
117
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 "Simpliziale Approximation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Simplicial approximation theorem
407
2German (de)
Simpliziale Approximation
24
3Polish (pl)
Twierdzenie o aproksymacji symplicjalnej
21
4Ukrainian (uk)
Теорема про симпліційне наближення
7
5Italian (it)
Teorema dell'approssimazione simpliciale
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 "Simpliziale Approximation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Simplicial approximation theorem
18
2Polish (pl)
Twierdzenie o aproksymacji symplicjalnej
8
3Italian (it)
Teorema dell'approssimazione simpliciale
7
4German (de)
Simpliziale Approximation
5
5Ukrainian (uk)
Теорема про симпліційне наближення
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 "Simpliziale Approximation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Simplicial approximation theorem
1
2German (de)
Simpliziale Approximation
0
3Italian (it)
Teorema dell'approssimazione simpliciale
0
4Polish (pl)
Twierdzenie o aproksymacji symplicjalnej
0
5Ukrainian (uk)
Теорема про симпліційне наближення
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 "Simpliziale Approximation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Simplicial approximation theorem
11
2German (de)
Simpliziale Approximation
8
3Ukrainian (uk)
Теорема про симпліційне наближення
2
4Italian (it)
Teorema dell'approssimazione simpliciale
1
5Polish (pl)
Twierdzenie o aproksymacji symplicjalnej
1
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2025:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2025:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Simpliziale Approximation
enEnglish
Simplicial approximation theorem
itItalian
Teorema dell'approssimazione simpliciale
plPolish
Twierdzenie o aproksymacji symplicjalnej
ukUkrainian
Теорема про симпліційне наближення

Popularity rank trends

Best Rank German:
#763981
03.2020
Global:
#1752935
03.2014

AI rank trends

Best Rank German:
#30406
04.2018
Global:
#132590
04.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Simplicial approximation theorem from Wikipedia articles about Combinatorial topology, Lefschetz fixed-point theorem, Simplicial map, Luitzen Egbertus Jan Brouwer and Whitney embedding theorem. Whereas reading the article about Simplicial approximation theorem people most often go to Wikipedia articles on Whitney embedding theorem, Barycentric subdivision, Simplicial map, Simplicial complex and Lebesgue covering dimension.

Cumulative results of quality and popularity of the Wikipedia article

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

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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