Spectral sequence

en

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Spectral sequence

Quality:

Spectral sequence - in homological algebra, a means of computing homology groups by taking successive approximations. Article “Spectral sequence” in English Wikipedia has 49.8 points for quality (as of July 1, 2025). The article contains 12 references and 39 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.62 points.

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

Since the creation of article “Spectral sequence”, its content was written by 69 registered users of English Wikipedia and edited by 142 registered Wikipedia users in all languages.

The article is cited 84 times in English Wikipedia and cited 354 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #17709 in October 2004
  • Global: #41186 in September 2021

The highest popularity rank from 2008:

  • Local (English): #156555 in October 2014
  • Global: #274076 in October 2014

There are 8 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
1German (de)
Spektralsequenz
56.9886
2English (en)
Spectral sequence
49.8475
3Japanese (ja)
スペクトル系列
36.2497
4Chinese (zh)
譜序列
34.3788
5French (fr)
Suite spectrale
32.9185
6Korean (ko)
스펙트럼 열
24.0476
7Russian (ru)
Спектральная последовательность
12.5842
8Italian (it)
Successione spettrale
1.9354
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 "Spectral sequence" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Spectral sequence
363 044
2French (fr)
Suite spectrale
16 449
3Chinese (zh)
譜序列
12 831
4Russian (ru)
Спектральная последовательность
10 032
5German (de)
Spektralsequenz
9 349
6Japanese (ja)
スペクトル系列
8 880
7Korean (ko)
스펙트럼 열
4 363
8Italian (it)
Successione spettrale
1 773
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 "Spectral sequence" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Spectral sequence
2 128
2Japanese (ja)
スペクトル系列
226
3Russian (ru)
Спектральная последовательность
120
4Chinese (zh)
譜序列
113
5French (fr)
Suite spectrale
61
6German (de)
Spektralsequenz
50
7Korean (ko)
스펙트럼 열
31
8Italian (it)
Successione spettrale
17
More...

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

The highest AI

Language versions of the article "Spectral sequence" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Spectral sequence
69
2French (fr)
Suite spectrale
29
3German (de)
Spektralsequenz
18
4Japanese (ja)
スペクトル系列
8
5Italian (it)
Successione spettrale
6
6Chinese (zh)
譜序列
6
7Russian (ru)
Спектральная последовательность
4
8Korean (ko)
스펙트럼 열
2
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 "Spectral sequence" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Italian (it)
Successione spettrale
1
2German (de)
Spektralsequenz
0
3English (en)
Spectral sequence
0
4French (fr)
Suite spectrale
0
5Japanese (ja)
スペクトル系列
0
6Korean (ko)
스펙트럼 열
0
7Russian (ru)
Спектральная последовательность
0
8Chinese (zh)
譜序列
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 "Spectral sequence" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Successione spettrale
137
2English (en)
Spectral sequence
84
3French (fr)
Suite spectrale
46
4German (de)
Spektralsequenz
27
5Korean (ko)
스펙트럼 열
24
6Chinese (zh)
譜序列
16
7Japanese (ja)
スペクトル系列
10
8Russian (ru)
Спектральная последовательность
10
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
Spektralsequenz
enEnglish
Spectral sequence
frFrench
Suite spectrale
itItalian
Successione spettrale
jaJapanese
スペクトル系列
koKorean
스펙트럼 열
ruRussian
Спектральная последовательность
zhChinese
譜序列

Popularity rank trends

Best Rank English:
#156555
10.2014
Global:
#274076
10.2014

AI rank trends

Best Rank English:
#17709
10.2004
Global:
#41186
09.2021

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Spectral sequence from Wikipedia articles about Homological algebra, Lyndon–Hochschild–Serre spectral sequence, Serre spectral sequence, Grothendieck spectral sequence and Gysin sequence. Whereas reading the article about Spectral sequence people most often go to Wikipedia articles on Serre spectral sequence, Leray spectral sequence, Jean Leray, Hodge–de Rham spectral sequence and Atiyah–Hirzebruch spectral sequence.

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