Local diffeomorphism

en

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Local diffeomorphism

Quality:

Local diffeomorphism - smooth map which is a diffeomorphism upon restriction. Article “Local diffeomorphism” in English Wikipedia has 18.8 points for quality (as of July 1, 2026). The article contains 3 references and 9 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 0.99 points.

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

In June 2026 the article “Local diffeomorphism” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Local diffeomorphism”, its content was written by 26 registered users of English Wikipedia and edited by 63 registered Wikipedia users in all languages.

The article is cited 185 times in English Wikipedia and cited 480 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #148817 in August 2009
  • Global: #182121 in August 2009

The highest popularity rank from 2008:

  • Local (English): #704046 in October 2020
  • Global: #1012366 in October 2020

There are 6 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, 2026 (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)
Local diffeomorphism
18.7797
2Catalan (ca)
Difeomorfisme local
8.8985
3Italian (it)
Diffeomorfismo locale
4.9445
4Japanese (ja)
局所微分同相写像
4.1567
5Dutch (nl)
Lokaal diffeomorfisme
1.1576
6Spanish (es)
Difeomorfismo local
0.3687
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 "Local diffeomorphism" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Local diffeomorphism
115 069
2Spanish (es)
Difeomorfismo local
29 479
3Italian (it)
Diffeomorfismo locale
21 111
4Japanese (ja)
局所微分同相写像
7 247
5Catalan (ca)
Difeomorfisme local
2 221
6Dutch (nl)
Lokaal diffeomorfisme
1 461
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Local diffeomorphism" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Local diffeomorphism
268
2Italian (it)
Diffeomorfismo locale
31
3Japanese (ja)
局所微分同相写像
30
4Spanish (es)
Difeomorfismo local
20
5Catalan (ca)
Difeomorfisme local
11
6Dutch (nl)
Lokaal diffeomorfisme
4
More...

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

The highest AI

Language versions of the article "Local diffeomorphism" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Local diffeomorphism
26
2Italian (it)
Diffeomorfismo locale
17
3Spanish (es)
Difeomorfismo local
9
4Japanese (ja)
局所微分同相写像
6
5Dutch (nl)
Lokaal diffeomorfisme
3
6Catalan (ca)
Difeomorfisme local
2
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 2026

Language versions of the article "Local diffeomorphism" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Local diffeomorphism
1
2Catalan (ca)
Difeomorfisme local
0
3Spanish (es)
Difeomorfismo local
0
4Italian (it)
Diffeomorfismo locale
0
5Japanese (ja)
局所微分同相写像
0
6Dutch (nl)
Lokaal diffeomorfisme
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 "Local diffeomorphism" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Diffeomorfismo locale
270
2English (en)
Local diffeomorphism
185
3Catalan (ca)
Difeomorfisme local
9
4Japanese (ja)
局所微分同相写像
8
5Spanish (es)
Difeomorfismo local
5
6Dutch (nl)
Lokaal diffeomorfisme
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Difeomorfisme local
enEnglish
Local diffeomorphism
esSpanish
Difeomorfismo local
itItalian
Diffeomorfismo locale
jaJapanese
局所微分同相写像
nlDutch
Lokaal diffeomorfisme

Popularity rank trends

Best Rank English:
#704046
10.2020
Global:
#1012366
10.2020

AI rank trends

Best Rank English:
#148817
08.2009
Global:
#182121
08.2009

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Local diffeomorphism from Wikipedia articles about Diffeomorphism, Submersion, Isometry, Tangent space and Pushforward. Whereas reading the article about Local diffeomorphism people most often go to Wikipedia articles on Diffeomorphism, Immersion, Inverse function theorem, Differentiable manifold and Covering space.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information