PCF theory

en

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PCF theory

Quality:

PCF theory - mathematical theory dealing with the cofinality of the ultraproducts of ordered sets. Article “PCF theory” in English Wikipedia has 10.7 points for quality (as of July 1, 2025). The article contains 0 references and 6 sections.

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

Since the creation of article “PCF theory”, its content was written by 16 registered users of English Wikipedia and edited by 34 registered Wikipedia users in all languages.

The article is cited 16 times in English Wikipedia and cited 247 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #191094 in December 2004
  • Global: #193272 in August 2006

The highest popularity rank from 2008:

  • Local (English): #672994 in February 2011
  • Global: #899881 in February 2011

There are 3 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
1Polish (pl)
Teoria PCF
20.4412
2Korean (ko)
가능 공종도
16.8078
3English (en)
PCF theory
10.6652
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 "PCF theory" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
PCF theory
57 850
2Polish (pl)
Teoria PCF
26 085
3Korean (ko)
가능 공종도
2 216
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 "PCF theory" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
PCF theory
430
2Polish (pl)
Teoria PCF
39
3Korean (ko)
가능 공종도
10
More...

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

The highest AI

Language versions of the article "PCF theory" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
PCF theory
16
2Polish (pl)
Teoria PCF
15
3Korean (ko)
가능 공종도
3
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 "PCF theory" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
PCF theory
0
2Korean (ko)
가능 공종도
0
3Polish (pl)
Teoria PCF
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 "PCF theory" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Teoria PCF
147
2Korean (ko)
가능 공종도
84
3English (en)
PCF theory
16
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
enEnglish
PCF theory
koKorean
가능 공종도
plPolish
Teoria PCF

Popularity rank trends

Best Rank English:
#672994
02.2011
Global:
#899881
02.2011

AI rank trends

Best Rank English:
#191094
12.2004
Global:
#193272
08.2006

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on PCF theory from Wikipedia articles about Saharon Shelah, Upper and lower bounds, Eastons theorem, Cardinality and Gimel function. Whereas reading the article about PCF theory people most often go to Wikipedia articles on Cofinality, Ultraproduct, Kurepa tree, Changs conjecture and Saharon Shelah.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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