Quotient space (linear algebra)

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Quotient space (linear algebra)

Quality:

Quotient space - vector space consisting of affine subsets. Article “Quotient space (linear algebra)” in English Wikipedia has 32.7 points for quality (as of July 1, 2025). The article contains 9 references and 14 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 “Quotient space (linear algebra)” was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Quotient space (linear algebra)”, its content was written by 42 registered users of English Wikipedia and edited by 191 registered Wikipedia users in all languages.

The article is cited 133 times in English Wikipedia and cited 525 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #93166 in July 2009
  • Global: #94342 in March 2010

The highest popularity rank from 2008:

  • Local (English): #250488 in September 2020
  • Global: #260515 in January 2021

There are 17 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)
Quotient space (linear algebra)
32.7067
2Persian (fa)
فضای خارج‌قسمتی (جبر خطی)
19.979
3Hebrew (he)
מרחב מנה (אלגברה ליניארית)
15.4828
4Finnish (fi)
Tekijäavaruus (lineaarialgebra)
14.8476
5Chinese (zh)
商空间 (线性代数)
14.3157
6Catalan (ca)
Espai vectorial quocient
12.2247
7Polish (pl)
Przestrzeń ilorazowa (algebra liniowa)
10.8309
8German (de)
Faktorraum
10.6866
9Italian (it)
Spazio vettoriale quoziente
10.0821
10Spanish (es)
Espacio cociente (álgebra lineal)
8.4524
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 "Quotient space (linear algebra)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Quotient space (linear algebra)
521 081
2German (de)
Faktorraum
211 120
3Japanese (ja)
商線型空間
59 484
4Spanish (es)
Espacio cociente (álgebra lineal)
59 316
5French (fr)
Espace vectoriel quotient
48 116
6Italian (it)
Spazio vettoriale quoziente
46 844
7Russian (ru)
Факторпространство по подпространству
42 316
8Polish (pl)
Przestrzeń ilorazowa (algebra liniowa)
39 149
9Chinese (zh)
商空间 (线性代数)
33 374
10Hebrew (he)
מרחב מנה (אלגברה ליניארית)
8 446
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 "Quotient space (linear algebra)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Quotient space (linear algebra)
2 568
2German (de)
Faktorraum
519
3Russian (ru)
Факторпространство по подпространству
325
4Japanese (ja)
商線型空間
239
5Spanish (es)
Espacio cociente (álgebra lineal)
171
6French (fr)
Espace vectoriel quotient
161
7Italian (it)
Spazio vettoriale quoziente
137
8Chinese (zh)
商空间 (线性代数)
98
9Polish (pl)
Przestrzeń ilorazowa (algebra liniowa)
85
10Vietnamese (vi)
Không gian thương (đại số tuyến tính)
30
More...

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

The highest AI

Language versions of the article "Quotient space (linear algebra)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Quotient space (linear algebra)
42
2German (de)
Faktorraum
33
3Italian (it)
Spazio vettoriale quoziente
23
4Hebrew (he)
מרחב מנה (אלגברה ליניארית)
17
5Polish (pl)
Przestrzeń ilorazowa (algebra liniowa)
12
6Spanish (es)
Espacio cociente (álgebra lineal)
11
7French (fr)
Espace vectoriel quotient
11
8Japanese (ja)
商線型空間
10
9Russian (ru)
Факторпространство по подпространству
8
10Chinese (zh)
商空间 (线性代数)
7
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 "Quotient space (linear algebra)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Quotient space (linear algebra)
2
2Catalan (ca)
Espai vectorial quocient
0
3German (de)
Faktorraum
0
4Spanish (es)
Espacio cociente (álgebra lineal)
0
5Persian (fa)
فضای خارج‌قسمتی (جبر خطی)
0
6Finnish (fi)
Tekijäavaruus (lineaarialgebra)
0
7French (fr)
Espace vectoriel quotient
0
8Hebrew (he)
מרחב מנה (אלגברה ליניארית)
0
9Italian (it)
Spazio vettoriale quoziente
0
10Japanese (ja)
商線型空間
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 "Quotient space (linear algebra)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Quotient space (linear algebra)
133
2German (de)
Faktorraum
79
3Polish (pl)
Przestrzeń ilorazowa (algebra liniowa)
60
4Japanese (ja)
商線型空間
46
5Vietnamese (vi)
Không gian thương (đại số tuyến tính)
45
6French (fr)
Espace vectoriel quotient
37
7Persian (fa)
فضای خارج‌قسمتی (جبر خطی)
33
8Italian (it)
Spazio vettoriale quoziente
28
9Spanish (es)
Espacio cociente (álgebra lineal)
20
10Chinese (zh)
商空间 (线性代数)
12
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
Espai vectorial quocient
deGerman
Faktorraum
enEnglish
Quotient space (linear algebra)
esSpanish
Espacio cociente (álgebra lineal)
faPersian
فضای خارج‌قسمتی (جبر خطی)
fiFinnish
Tekijäavaruus (lineaarialgebra)
frFrench
Espace vectoriel quotient
heHebrew
מרחב מנה (אלגברה ליניארית)
itItalian
Spazio vettoriale quoziente
jaJapanese
商線型空間
plPolish
Przestrzeń ilorazowa (algebra liniowa)
ptPortuguese
Espaço quociente (álgebra linear)
ruRussian
Факторпространство по подпространству
simpleSimple English
Quotient space (linear algebra)
svSwedish
Kvotrum (linjär algebra)
viVietnamese
Không gian thương (đại số tuyến tính)
zhChinese
商空间 (线性代数)

Popularity rank trends

Best Rank English:
#250488
09.2020
Global:
#260515
01.2021

AI rank trends

Best Rank English:
#93166
07.2009
Global:
#94342
03.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Quotient space from Wikipedia articles about Quotientenraum, Quotient space, Quotient topological space, Tensor product and Quotient ring. Whereas reading the article about Quotient space people most often go to Wikipedia articles on Quotient topological space, Equivalence class, Coset, Equivalence relation and Quotient group.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 7 October 2025

On 7 October 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ed Gein, Ilse Koch, Lizzie Borden, Anthony Perkins, Monster: The Ed Gein Story, Greta Thunberg, Richard Speck, Psycho, ChatGPT, Charlie Hunnam.

In English Wikipedia the most popular articles on that day were: Ed Gein, Google Chrome, Monster: The Original Monster, Kantara: Chapter 1, Ilse Koch, Richard Speck, Trevor Lawrence, Anthony Perkins, Lizzie Borden, Charlie Hunnam.

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