龐加萊對偶性

zh

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龐加萊對偶性

Quality:

Poincaré duality - duality that relates homology and cohomology groups for oriented closed manifolds. Article “龐加萊對偶性” in Chinese Wikipedia has 9.9 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 (Chinese) language version.

Since the creation of article “龐加萊對偶性”, its content was written by 4 registered users of Chinese Wikipedia and edited by 156 registered Wikipedia users in all languages.

The article is cited 24 times in Chinese Wikipedia and cited 369 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #15378 in November 2013
  • Global: #49790 in March 2004

The highest popularity rank from 2008:

  • Local (Chinese): #224287 in January 2018
  • Global: #430792 in May 2025

There are 13 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)
Poincaré duality
28.7291
2German (de)
Poincaré-Dualität
21.0908
3French (fr)
Dualité de Poincaré
17.7816
4Ukrainian (uk)
Двоїстість Пуанкаре
12.4704
5Russian (ru)
Двойственность Пуанкаре
10.3675
6Korean (ko)
푸앵카레 쌍대성
10.2712
7Chinese (zh)
龐加萊對偶性
9.8691
8Thai (th)
ภาวะคู่กันปวงกาเร
9.5033
9Portuguese (pt)
Dualidade de Poincaré
7.7435
10Spanish (es)
Dualidad de Poincaré
5.995
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 "龐加萊對偶性" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Poincaré duality
385 246
2Japanese (ja)
ポアンカレ双対
29 748
3Spanish (es)
Dualidad de Poincaré
28 946
4French (fr)
Dualité de Poincaré
25 198
5German (de)
Poincaré-Dualität
19 273
6Russian (ru)
Двойственность Пуанкаре
14 576
7Chinese (zh)
龐加萊對偶性
9 835
8Portuguese (pt)
Dualidade de Poincaré
6 300
9Korean (ko)
푸앵카레 쌍대성
6 165
10Dutch (nl)
Poincaré-dualiteit
2 213
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 "龐加萊對偶性" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Poincaré duality
2 558
2Japanese (ja)
ポアンカレ双対
222
3French (fr)
Dualité de Poincaré
182
4Spanish (es)
Dualidad de Poincaré
106
5Chinese (zh)
龐加萊對偶性
97
6German (de)
Poincaré-Dualität
85
7Russian (ru)
Двойственность Пуанкаре
66
8Korean (ko)
푸앵카레 쌍대성
22
9Portuguese (pt)
Dualidade de Poincaré
19
10Swedish (sv)
Poincarés dualitet
18
More...

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

The highest AI

Language versions of the article "龐加萊對偶性" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Poincaré duality
59
2German (de)
Poincaré-Dualität
19
3French (fr)
Dualité de Poincaré
12
4Japanese (ja)
ポアンカレ双対
12
5Russian (ru)
Двойственность Пуанкаре
11
6Spanish (es)
Dualidad de Poincaré
8
7Dutch (nl)
Poincaré-dualiteit
8
8Portuguese (pt)
Dualidade de Poincaré
8
9Korean (ko)
푸앵카레 쌍대성
5
10Swedish (sv)
Poincarés dualitet
4
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 "龐加萊對偶性" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Poincaré duality
2
2Swedish (sv)
Poincarés dualitet
1
3German (de)
Poincaré-Dualität
0
4Spanish (es)
Dualidad de Poincaré
0
5French (fr)
Dualité de Poincaré
0
6Japanese (ja)
ポアンカレ双対
0
7Korean (ko)
푸앵카레 쌍대성
0
8Dutch (nl)
Poincaré-dualiteit
0
9Portuguese (pt)
Dualidade de Poincaré
0
10Russian (ru)
Двойственность Пуанкаре
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 "龐加萊對偶性" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Poincaré duality
123
2French (fr)
Dualité de Poincaré
55
3Japanese (ja)
ポアンカレ双対
45
4German (de)
Poincaré-Dualität
30
5Chinese (zh)
龐加萊對偶性
24
6Korean (ko)
푸앵카레 쌍대성
23
7Russian (ru)
Двойственность Пуанкаре
19
8Spanish (es)
Dualidad de Poincaré
16
9Ukrainian (uk)
Двоїстість Пуанкаре
9
10Dutch (nl)
Poincaré-dualiteit
8
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Poincaré-Dualität
enEnglish
Poincaré duality
esSpanish
Dualidad de Poincaré
frFrench
Dualité de Poincaré
jaJapanese
ポアンカレ双対
koKorean
푸앵카레 쌍대성
nlDutch
Poincaré-dualiteit
ptPortuguese
Dualidade de Poincaré
ruRussian
Двойственность Пуанкаре
svSwedish
Poincarés dualitet
thThai
ภาวะคู่กันปวงกาเร
ukUkrainian
Двоїстість Пуанкаре
zhChinese
龐加萊對偶性

Popularity rank trends

Best Rank Chinese:
#224287
01.2018
Global:
#430792
05.2025

AI rank trends

Best Rank Chinese:
#15378
11.2013
Global:
#49790
03.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Poincaré duality from Wikipedia articles about Hodge conjecture, Algebraic topology, Cohomology, Yin and yang and Verdier duality. Whereas reading the article about Poincaré duality people most often go to Wikipedia articles on Cap product, Lefschetz duality, Fundamental class, Cohomology and Homology.

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 Chinese Wikipedia the most popular articles on that day were: 朱由𣜬, 林岱樺, 林逸欣, 江油未成年人欺凌事件, 鬼滅之刃, 黃士修, 鬼滅之刃角色列表, 锦月如歌, 2025年亞洲盃籃球賽, 鬼滅之刃劇場版 無限城篇.

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