Open set

Quality:

Open set - set that does not contain any of its boundary points. Article "Open set" in English Wikipedia has 46.7 points for quality (as of November 1, 2023). The article contains 32 references and 18 sections. The article also contains quality flaw template, which reduce quality score.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Open set", its content was written by 147 registered users of English Wikipedia and edited by 785 registered Wikipedia users in all languages.

The article is cited 639 times in English Wikipedia and cited 4346 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #637 in April 2002
  • Global: #920 in April 2002

The highest popularity rank from 2008:

  • Local (English): #70601 in October 2020
  • Global: #26286 in July 2016

There are 37 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
1English (en)
Open set
46.6697
2Korean (ko)
열린집합
34.8218
3Spanish (es)
Conjunto abierto
24.1534
4Estonian (et)
Lahtine hulk
23.9159
5Catalan (ca)
Conjunt obert
23.7535
6Chinese (zh)
开集
22.8532
7Croatian (hr)
Otvoren skup
22.1288
8Hungarian (hu)
Nyílt halmaz
20.9881
9Finnish (fi)
Avoin joukko
20.4991
10German (de)
Offene Menge
19.9416
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 "Open set" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Open set
1 848 393
2German (de)
Offene Menge
598 243
3French (fr)
Ouvert (topologie)
366 252
4Spanish (es)
Conjunto abierto
321 626
5Russian (ru)
Открытое множество
236 192
6Italian (it)
Insieme aperto
184 325
7Japanese (ja)
開集合
168 552
8Polish (pl)
Zbiór otwarty
141 576
9Chinese (zh)
开集
125 395
10Korean (ko)
열린집합
94 312
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 "Open set" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Open set
12 135
2French (fr)
Ouvert (topologie)
3 297
3German (de)
Offene Menge
2 774
4Spanish (es)
Conjunto abierto
1 565
5Russian (ru)
Открытое множество
1 519
6Japanese (ja)
開集合
1 309
7Chinese (zh)
开集
1 054
8Italian (it)
Insieme aperto
1 010
9Korean (ko)
열린집합
860
10Polish (pl)
Zbiór otwarty
750
More...

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

The highest AI

Language versions of the article "Open set" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Open set
147
2German (de)
Offene Menge
90
3French (fr)
Ouvert (topologie)
71
4Italian (it)
Insieme aperto
44
5Dutch (nl)
Open verzameling
40
6Hebrew (he)
קבוצה פתוחה
34
7Russian (ru)
Открытое множество
34
8Spanish (es)
Conjunto abierto
32
9Polish (pl)
Zbiór otwarty
28
10Finnish (fi)
Avoin joukko
27
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 "Open set" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Polish (pl)
Zbiór otwarty
1
2Russian (ru)
Открытое множество
1
3Vietnamese (vi)
Tập mở
1
4Arabic (ar)
مجموعة مفتوحة
0
5Bulgarian (bg)
Отворено множество
0
6Catalan (ca)
Conjunt obert
0
7Czech (cs)
Otevřená množina
0
8Danish (da)
Åben mængde
0
9German (de)
Offene Menge
0
10Greek (el)
Ανοικτό σύνολο
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 "Open set" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Open set
639
2Korean (ko)
열린집합
454
3Italian (it)
Insieme aperto
366
4French (fr)
Ouvert (topologie)
336
5German (de)
Offene Menge
274
6Japanese (ja)
開集合
251
7Chinese (zh)
开集
218
8Polish (pl)
Zbiór otwarty
210
9Ukrainian (uk)
Відкрита множина
188
10Spanish (es)
Conjunto abierto
164
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مجموعة مفتوحة
bgBulgarian
Отворено множество
caCatalan
Conjunt obert
csCzech
Otevřená množina
daDanish
Åben mængde
deGerman
Offene Menge
elGreek
Ανοικτό σύνολο
enEnglish
Open set
eoEsperanto
Malfermita aro
esSpanish
Conjunto abierto
etEstonian
Lahtine hulk
euBasque
Multzo ireki
faPersian
مجموعه باز
fiFinnish
Avoin joukko
frFrench
Ouvert (topologie)
glGalician
Conxunto aberto
heHebrew
קבוצה פתוחה
hrCroatian
Otvoren skup
huHungarian
Nyílt halmaz
idIndonesian
Himpunan terbuka
itItalian
Insieme aperto
jaJapanese
開集合
koKorean
열린집합
nlDutch
Open verzameling
noNorwegian
Åpen mengde
plPolish
Zbiór otwarty
ptPortuguese
Conjunto aberto
roRomanian
Mulțime deschisă
ruRussian
Открытое множество
simpleSimple English
Open set
skSlovak
Otvorená množina
slSlovenian
Odprta množica
srSerbian
Отворен скуп
svSwedish
Öppen mängd
ukUkrainian
Відкрита множина
viVietnamese
Tập mở
zhChinese
开集

Popularity rank trends

Best Rank English:
#70601
10.2020
Global:
#26286
07.2016

AI rank trends

Best Rank English:
#637
04.2002
Global:
#920
04.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Open set from Wikipedia articles about Closed set, Neighborhood, Topological space, Clopen set and Connected space. Whereas reading the article about Open set people most often go to Wikipedia articles on Closed set, Interval, Topological space, Metric space and Clopen set.

Cumulative results of quality and popularity of the Wikipedia article

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

zh: 开集
simple: Open set

News from 28 April 2024

On 28 April 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: YouTube, Fallout, Facebook, Baby Reindeer, Challengers, Premier League, Fallout, deaths in 2024, Queen of Tears, Arsenal F.C..

In English Wikipedia the most popular articles on that day were: Indian Premier League, Richard Gadd, Baby Reindeer, Challengers (film), Next Indian general election, Queen of Tears, Fallout (2024 TV series), Colin Jost, YouTube, 2024 Indian Premier League.

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