Stone–Čech compactification

en

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Stone–Čech compactification

Quality:

Stone–Čech compactification - a universal map from a topological space X to a compact Hausdorff space βX, such that any map from X to a compact Hausdorff space factors through βX uniquely; if X is Tychonoff, then X is a dense subspace of βX. Article “Stone–Čech compactification” in English Wikipedia has 37.4 points for quality (as of July 1, 2025). The article contains 11 references and 15 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.

Since the creation of article “Stone–Čech compactification”, its content was written by 69 registered users of English Wikipedia and edited by 196 registered Wikipedia users in all languages.

The article is cited 87 times in English Wikipedia and cited 423 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #6526 in May 2002
  • Global: #7962 in May 2002

The highest popularity rank from 2008:

  • Local (English): #300122 in January 2008
  • Global: #444732 in January 2008

There are 12 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)
Stone–Čech compactification
37.4187
2Ukrainian (uk)
Компактифікація Стоуна — Чеха
22.947
3German (de)
Stone-Čech-Kompaktifizierung
19.2804
4Russian (ru)
Компактификация Стоуна — Чеха
18.9793
5French (fr)
Compactification de Stone-Čech
18.8604
6Chinese (zh)
斯通-切赫緊化
16.033
7Korean (ko)
스톤-체흐 콤팩트화
14.6063
8Polish (pl)
Uzwarcenie Čecha-Stone’a
14.1996
9Hebrew (he)
קומפקטיפיקציית סטון-צ'ך
5.5824
10Italian (it)
Compattificazione di Stone-Čech
3.9487
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 "Stone–Čech compactification" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Stone–Čech compactification
300 926
2German (de)
Stone-Čech-Kompaktifizierung
18 199
3Polish (pl)
Uzwarcenie Čecha-Stone’a
15 915
4French (fr)
Compactification de Stone-Čech
15 367
5Russian (ru)
Компактификация Стоуна — Чеха
12 497
6Italian (it)
Compattificazione di Stone-Čech
9 426
7Chinese (zh)
斯通-切赫緊化
3 281
8Korean (ko)
스톤-체흐 콤팩트화
2 368
9Hebrew (he)
קומפקטיפיקציית סטון-צ'ך
2 047
10Dutch (nl)
Stone-Čech-compactificatie
2 047
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 "Stone–Čech compactification" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Stone–Čech compactification
2 275
2French (fr)
Compactification de Stone-Čech
113
3Russian (ru)
Компактификация Стоуна — Чеха
67
4Hebrew (he)
קומפקטיפיקציית סטון-צ'ך
57
5Italian (it)
Compattificazione di Stone-Čech
44
6German (de)
Stone-Čech-Kompaktifizierung
42
7Polish (pl)
Uzwarcenie Čecha-Stone’a
38
8Chinese (zh)
斯通-切赫緊化
36
9Korean (ko)
스톤-체흐 콤팩트화
25
10Vietnamese (vi)
Compact hóa Stone–Čech
7
More...

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

The highest AI

Language versions of the article "Stone–Čech compactification" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Stone–Čech compactification
69
2German (de)
Stone-Čech-Kompaktifizierung
28
3French (fr)
Compactification de Stone-Čech
22
4Italian (it)
Compattificazione di Stone-Čech
21
5Polish (pl)
Uzwarcenie Čecha-Stone’a
12
6Vietnamese (vi)
Compact hóa Stone–Čech
10
7Russian (ru)
Компактификация Стоуна — Чеха
9
8Hebrew (he)
קומפקטיפיקציית סטון-צ'ך
8
9Dutch (nl)
Stone-Čech-compactificatie
8
10Ukrainian (uk)
Компактифікація Стоуна — Чеха
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 "Stone–Čech compactification" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Stone-Čech-Kompaktifizierung
0
2English (en)
Stone–Čech compactification
0
3French (fr)
Compactification de Stone-Čech
0
4Hebrew (he)
קומפקטיפיקציית סטון-צ'ך
0
5Italian (it)
Compattificazione di Stone-Čech
0
6Korean (ko)
스톤-체흐 콤팩트화
0
7Dutch (nl)
Stone-Čech-compactificatie
0
8Polish (pl)
Uzwarcenie Čecha-Stone’a
0
9Russian (ru)
Компактификация Стоуна — Чеха
0
10Ukrainian (uk)
Компактифікація Стоуна — Чеха
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 "Stone–Čech compactification" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Compattificazione di Stone-Čech
143
2English (en)
Stone–Čech compactification
87
3Hebrew (he)
קומפקטיפיקציית סטון-צ'ך
44
4Polish (pl)
Uzwarcenie Čecha-Stone’a
27
5German (de)
Stone-Čech-Kompaktifizierung
26
6French (fr)
Compactification de Stone-Čech
26
7Korean (ko)
스톤-체흐 콤팩트화
20
8Russian (ru)
Компактификация Стоуна — Чеха
16
9Chinese (zh)
斯通-切赫緊化
12
10Ukrainian (uk)
Компактифікація Стоуна — Чеха
11
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
Stone-Čech-Kompaktifizierung
enEnglish
Stone–Čech compactification
frFrench
Compactification de Stone-Čech
heHebrew
קומפקטיפיקציית סטון-צ'ך
itItalian
Compattificazione di Stone-Čech
koKorean
스톤-체흐 콤팩트화
nlDutch
Stone-Čech-compactificatie
plPolish
Uzwarcenie Čecha-Stone’a
ruRussian
Компактификация Стоуна — Чеха
ukUkrainian
Компактифікація Стоуна — Чеха
viVietnamese
Compact hóa Stone–Čech
zhChinese
斯通-切赫緊化

Popularity rank trends

Best Rank English:
#300122
01.2008
Global:
#444732
01.2008

AI rank trends

Best Rank English:
#6526
05.2002
Global:
#7962
05.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Stone–Čech compactification from Wikipedia articles about Adjoint functor, Alexandroff extension, Donald Knuth, Compactification and Stone space. Whereas reading the article about Stone–Čech compactification people most often go to Wikipedia articles on Completely regular space, Eduard Čech, Stone space, Universal property and Parovicenko space.

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