Darstellbarkeit (Kategorientheorie)

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Darstellbarkeit (Kategorientheorie)

Quality:

Representable functor - functor F: C → Set to the category of sets, naturally isomorphic to a hom-functor hom(X, –) for some object X in C. Article "Darstellbarkeit (Kategorientheorie)" in German Wikipedia has 5.6 points for quality (as of November 1, 2023). The article contains 0 references and 4 sections.

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

Since the creation of article "Darstellbarkeit (Kategorientheorie)", its content was written by 12 registered users of German Wikipedia and edited by 58 registered Wikipedia users in all languages.

The article is cited 24 times in German Wikipedia and cited 247 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #90760 in March 2005
  • Global: #44310 in July 2004

The highest popularity rank from 2008:

  • Local (German): #431497 in September 2008
  • Global: #906274 in October 2023

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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
可表函子
22.5841
2English (en)
Representable functor
20.4497
3Portuguese (pt)
Functor representável
16.0167
4Ukrainian (uk)
Зображуваний функтор
7.0938
5Russian (ru)
Представимый функтор
5.9346
6German (de)
Darstellbarkeit (Kategorientheorie)
5.6434
7Korean (ko)
표현 가능 함자
5.4652
8French (fr)
Foncteur représentable
4.7677
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 "Darstellbarkeit (Kategorientheorie)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Representable functor
148 578
2German (de)
Darstellbarkeit (Kategorientheorie)
13 175
3French (fr)
Foncteur représentable
11 938
4Russian (ru)
Представимый функтор
6 249
5Chinese (zh)
可表函子
2 750
6Korean (ko)
표현 가능 함자
1 222
7Portuguese (pt)
Functor representável
241
8Ukrainian (uk)
Зображуваний функтор
96
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2023

The most popular language versions of the article "Darstellbarkeit (Kategorientheorie)" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Representable functor
1 516
2French (fr)
Foncteur représentable
125
3Chinese (zh)
可表函子
51
4German (de)
Darstellbarkeit (Kategorientheorie)
43
5Korean (ko)
표현 가능 함자
32
6Russian (ru)
Представимый функтор
27
7Ukrainian (uk)
Зображуваний функтор
4
8Portuguese (pt)
Functor representável
3
More...

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

The highest AI

Language versions of the article "Darstellbarkeit (Kategorientheorie)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Representable functor
23
2French (fr)
Foncteur représentable
13
3German (de)
Darstellbarkeit (Kategorientheorie)
12
4Russian (ru)
Представимый функтор
3
5Chinese (zh)
可表函子
3
6Ukrainian (uk)
Зображуваний функтор
2
7Korean (ko)
표현 가능 함자
1
8Portuguese (pt)
Functor representável
1
More...

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

The highest AI in October 2023

Language versions of the article "Darstellbarkeit (Kategorientheorie)" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Korean (ko)
표현 가능 함자
1
2German (de)
Darstellbarkeit (Kategorientheorie)
0
3English (en)
Representable functor
0
4French (fr)
Foncteur représentable
0
5Portuguese (pt)
Functor representável
0
6Russian (ru)
Представимый функтор
0
7Ukrainian (uk)
Зображуваний функтор
0
8Chinese (zh)
可表函子
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 "Darstellbarkeit (Kategorientheorie)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Foncteur représentable
77
2English (en)
Representable functor
67
3Portuguese (pt)
Functor representável
28
4Korean (ko)
표현 가능 함자
25
5German (de)
Darstellbarkeit (Kategorientheorie)
24
6Chinese (zh)
可表函子
13
7Russian (ru)
Представимый функтор
10
8Ukrainian (uk)
Зображуваний функтор
3
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in October 2023:
German:
Global:
Popularity in all years:
German:
Global:
Authors in October 2023:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Darstellbarkeit (Kategorientheorie)
enEnglish
Representable functor
frFrench
Foncteur représentable
koKorean
표현 가능 함자
ptPortuguese
Functor representável
ruRussian
Представимый функтор
ukUkrainian
Зображуваний функтор
zhChinese
可表函子

Popularity rank trends

Best Rank German:
#431497
09.2008
Global:
#906274
10.2023

AI rank trends

Best Rank German:
#90760
03.2005
Global:
#44310
07.2004

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Representable functor from Wikipedia articles about Yoneda lemma, Hom functor, Functor, Universal property and Presheaf. Whereas reading the article about Representable functor people most often go to Wikipedia articles on Yoneda lemma, Natural transformation, Hom functor, Category and Density 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 30 May 2024

On 30 May 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Feast of Corpus Christi, YouTube, Vincent Kompany, Hansi Flick, UEFA Europa Conference League, deaths in 2024, ChatGPT, Olympiacos F.C., Furiosa: A Mad Max Saga, UEFA Euro 2024.

In German Wikipedia the most popular articles on that day were: Fronleichnam, Vincent Kompany, Anastassija Jurjewna Saworotnjuk, Pearl Hart, Liste der größten Auslegerbrücken, Eucharistie, Märzengrund (Film), Pythagoras, Khola Maryam Hübsch, Süßes Löchle.

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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information