Submersion (mathematics)

Submersion - differentiable map whose differential is everywhere surjective. Article "Submersion (mathematics)" in English Wikipedia has 22.9 points for quality (as of July 1, 2025). The article contains 3 references and 11 sections.

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

Since the creation of article "Submersion (mathematics)", its content was written by 49 registered users of English Wikipedia and edited by 110 registered Wikipedia users in all languages.

The article is cited 205 times in English Wikipedia and cited 291 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #17977 in November 2003
• Global: #33859 in November 2003

The highest popularity rank from 2008:

• Local (English): #353208 in October 2008
• Global: #496553 in October 2008

There are 13 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.

#	Language	Quality grade	Quality score
1	Chinese (zh) 浸没 (数学)		26.0071
2	English (en) Submersion (mathematics)		22.9164
3	Portuguese (pt) Submersão (matemática)		15.6676
4	Vietnamese (vi) Phép ngập		14.4574
5	French (fr) Submersion (mathématiques)		12.486
6	Italian (it) Sommersione		10.9863
7	Ukrainian (uk) Субмерсія		10.5981
8	Japanese (ja) 沈め込み		9.332
9	Persian (fa) پوشاننده		8.7652
10	Korean (ko) 침몰 (수학)		8.7062

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Submersion (mathematics)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Submersion (mathematics)		252 213
2	German (de) Submersion		56 366
3	French (fr) Submersion (mathématiques)		24 222
4	Japanese (ja) 沈め込み		15 148
5	Dutch (nl) Onderdompeling (wiskunde)		4 506
6	Catalan (ca) Submersió		2 737
7	Korean (ko) 침몰 (수학)		1 526
8	Italian (it) Sommersione		1 388
9	Chinese (zh) 浸没 (数学)		1 235
10	Ukrainian (uk) Субмерсія		820

More...

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

The most popular language versions of the article "Submersion (mathematics)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Submersion (mathematics)		1 320
2	Japanese (ja) 沈め込み		188
3	French (fr) Submersion (mathématiques)		117
4	German (de) Submersion		105
5	Chinese (zh) 浸没 (数学)		37
6	Portuguese (pt) Submersão (matemática)		30
7	Italian (it) Sommersione		28
8	Catalan (ca) Submersió		18
9	Korean (ko) 침몰 (수학)		14
10	Ukrainian (uk) Субмерсія		10

More...

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

Language versions of the article "Submersion (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Submersion (mathematics)		49
2	German (de) Submersion		19
3	French (fr) Submersion (mathématiques)		18
4	Dutch (nl) Onderdompeling (wiskunde)		4
5	Ukrainian (uk) Субмерсія		4
6	Italian (it) Sommersione		3
7	Korean (ko) 침몰 (수학)		3
8	Vietnamese (vi) Phép ngập		3
9	Catalan (ca) Submersió		2
10	Portuguese (pt) Submersão (matemática)		2

More...

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

Language versions of the article "Submersion (mathematics)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	French (fr) Submersion (mathématiques)		1
2	Catalan (ca) Submersió		0
3	German (de) Submersion		0
4	English (en) Submersion (mathematics)		0
5	Persian (fa) پوشاننده		0
6	Italian (it) Sommersione		0
7	Japanese (ja) 沈め込み		0
8	Korean (ko) 침몰 (수학)		0
9	Dutch (nl) Onderdompeling (wiskunde)		0
10	Portuguese (pt) Submersão (matemática)		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Submersion (mathematics)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Submersion (mathematics)		205
2	French (fr) Submersion (mathématiques)		17
3	Japanese (ja) 沈め込み		17
4	German (de) Submersion		11
5	Catalan (ca) Submersió		8
6	Ukrainian (uk) Субмерсія		7
7	Vietnamese (vi) Phép ngập		6
8	Dutch (nl) Onderdompeling (wiskunde)		5
9	Chinese (zh) 浸没 (数学)		5
10	Korean (ko) 침몰 (수학)		4

More...

#	Language	Value
ca	Catalan Submersió
de	German Submersion
en	English Submersion (mathematics)
fa	Persian پوشاننده
fr	French Submersion (mathématiques)
it	Italian Sommersione
ja	Japanese 沈め込み
ko	Korean 침몰 (수학)
nl	Dutch Onderdompeling (wiskunde)
pt	Portuguese Submersão (matemática)
uk	Ukrainian Субмерсія
vi	Vietnamese Phép ngập
zh	Chinese 浸没 (数学)

Best Rank

English: #353208 10.2008

Global: #496553 10.2008

Best Rank

English: #17977 11.2003

Global: #33859 11.2003

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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