Proper forcing axiom

en

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Proper forcing axiom

Quality:

Proper forcing axiom - set theory axiom that if ? is a proper forcing and ?(?) is a dense subset of ? for each ?<ω₁, then there is a filter ?⊆? such that ?(?)∩? is nonempty for all ?<ω₁. Article “Proper forcing axiom” in English Wikipedia has 18.6 points for quality (as of July 1, 2025). The article contains 4 references and 7 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 “Proper forcing axiom”, its content was written by 20 registered users of English Wikipedia and edited by 33 registered Wikipedia users in all languages.

The article is cited 22 times in English Wikipedia and cited 49 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #92663 in August 2006
  • Global: #136643 in August 2006

The highest popularity rank from 2008:

  • Local (English): #601236 in March 2024
  • Global: #985348 in March 2024

There are 2 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)
PFA (aksjomat)
23.7251
2English (en)
Proper forcing axiom
18.5587
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 "Proper forcing axiom" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Proper forcing axiom
47 882
2Polish (pl)
PFA (aksjomat)
17 347
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 "Proper forcing axiom" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Proper forcing axiom
333
2Polish (pl)
PFA (aksjomat)
31
More...

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

The highest AI

Language versions of the article "Proper forcing axiom" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Proper forcing axiom
20
2Polish (pl)
PFA (aksjomat)
13
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 "Proper forcing axiom" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Proper forcing axiom
0
2Polish (pl)
PFA (aksjomat)
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 "Proper forcing axiom" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
PFA (aksjomat)
27
2English (en)
Proper forcing axiom
22
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
Proper forcing axiom
plPolish
PFA (aksjomat)

Popularity rank trends

Best Rank English:
#601236
03.2024
Global:
#985348
03.2024

AI rank trends

Best Rank English:
#92663
08.2006
Global:
#136643
08.2006

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Proper forcing axiom from Wikipedia articles about Saharon Shelah, Martins axiom, Martins maximum, List of statements undecidable in ZFC and Iterated forcing. Whereas reading the article about Proper forcing axiom people most often go to Wikipedia articles on Forcing, Martins axiom, Martins maximum, Stationary set and Stevo Todorčević.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 February 2026

On 28 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ali Khamenei, Iran, Ruhollah Khomeini, Jeffrey Epstein, Supreme Leader of Iran, Mohammad Reza I of Iran, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Masoud Pezeshkian, Resident Evil Requiem.

In English Wikipedia the most popular articles on that day were: Ali Khamenei, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Iran, Ruhollah Khomeini, Iran–Israel conflict, Supreme Leader of Iran, Scream 7, Elimination Chamber (2026), World War III.

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