Занурення (топологія)

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Занурення (топологія)

Quality:

Immersion - differentiable function whose derivative is everywhere injective. Article "Занурення (топологія)" in Ukrainian Wikipedia has 2 points for quality (as of August 1, 2024). The article contains 0 references and 2 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "Занурення (топологія)", its content was written by 5 registered users of Ukrainian Wikipedia and edited by 188 registered Wikipedia users in all languages.

The article is cited 20 times in Ukrainian Wikipedia and cited 704 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #28495 in April 2016
  • Global: #91882 in November 2012

The highest popularity rank from 2008:

  • Local (Ukrainian): #144592 in March 2018
  • Global: #381149 in June 2023

There are 18 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 August 1, 2024 (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)
Immersion (mathematics)
51.101
2Galician (gl)
Inmersión (matemáticas)
28.1131
3Vietnamese (vi)
Phép dìm
26.6104
4Japanese (ja)
はめ込み
21.634
5Russian (ru)
Погружение (топология)
17.4208
6Portuguese (pt)
Imersão (matemática)
17.0325
7Catalan (ca)
Immersió
16.7411
8Spanish (es)
Inmersión (matemáticas)
15.7943
9Korean (ko)
몰입 (수학)
13.3715
10Chinese (zh)
浸入
12.17
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 "Занурення (топологія)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Immersion (mathematics)
390 123
2German (de)
Immersion (Mathematik)
89 819
3French (fr)
Immersion (mathématiques)
34 510
4Russian (ru)
Погружение (топология)
31 437
5Japanese (ja)
はめ込み
25 052
6Spanish (es)
Inmersión (matemáticas)
21 831
7Italian (it)
Immersione (geometria)
18 874
8Portuguese (pt)
Imersão (matemática)
15 256
9Chinese (zh)
浸入
10 886
10Catalan (ca)
Immersió
9 460
More...

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

Most popular in July 2024

The most popular language versions of the article "Занурення (топологія)" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Immersion (mathematics)
2 078
2German (de)
Immersion (Mathematik)
487
3Japanese (ja)
はめ込み
345
4Chinese (zh)
浸入
209
5Russian (ru)
Погружение (топология)
132
6Spanish (es)
Inmersión (matemáticas)
105
7French (fr)
Immersion (mathématiques)
101
8Korean (ko)
몰입 (수학)
95
9Portuguese (pt)
Imersão (matemática)
75
10Italian (it)
Immersione (geometria)
73
More...

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

The highest AI

Language versions of the article "Занурення (топологія)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Immersion (mathematics)
58
2German (de)
Immersion (Mathematik)
28
3French (fr)
Immersion (mathématiques)
19
4Italian (it)
Immersione (geometria)
19
5Russian (ru)
Погружение (топология)
15
6Dutch (nl)
Indompeling (wiskunde)
9
7Catalan (ca)
Immersió
6
8Simple English (simple)
Immersion (mathematics)
5
9Ukrainian (uk)
Занурення (топологія)
5
10Spanish (es)
Inmersión (matemáticas)
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 July 2024

Language versions of the article "Занурення (топологія)" with the highest AI in July 2024
#LanguageAI awardRelative AI
1French (fr)
Immersion (mathématiques)
2
2Galician (gl)
Inmersión (matemáticas)
1
3Catalan (ca)
Immersió
0
4German (de)
Immersion (Mathematik)
0
5English (en)
Immersion (mathematics)
0
6Spanish (es)
Inmersión (matemáticas)
0
7Persian (fa)
ایمرژن
0
8Italian (it)
Immersione (geometria)
0
9Japanese (ja)
はめ込み
0
10Korean (ko)
몰입 (수학)
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 "Занурення (топологія)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Immersion (mathematics)
245
2Italian (it)
Immersione (geometria)
148
3Catalan (ca)
Immersió
51
4German (de)
Immersion (Mathematik)
46
5Russian (ru)
Погружение (топология)
32
6French (fr)
Immersion (mathématiques)
31
7Korean (ko)
몰입 (수학)
25
8Spanish (es)
Inmersión (matemáticas)
21
9Japanese (ja)
はめ込み
20
10Ukrainian (uk)
Занурення (топологія)
20
More...

Scores

Estimated value for Wikipedia:
Ukrainian:
Global:
Popularity in July 2024:
Ukrainian:
Global:
Popularity in all years:
Ukrainian:
Global:
Authors in July 2024:
Ukrainian:
Global:
Registered authors in all years:
Ukrainian:
Global:
Citations:
Ukrainian:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Immersió
deGerman
Immersion (Mathematik)
enEnglish
Immersion (mathematics)
esSpanish
Inmersión (matemáticas)
faPersian
ایمرژن
frFrench
Immersion (mathématiques)
glGalician
Inmersión (matemáticas)
itItalian
Immersione (geometria)
jaJapanese
はめ込み
koKorean
몰입 (수학)
nlDutch
Indompeling (wiskunde)
ptPortuguese
Imersão (matemática)
ruRussian
Погружение (топология)
simpleSimple English
Immersion (mathematics)
slSlovenian
Imerzija (matematika)
ukUkrainian
Занурення (топологія)
viVietnamese
Phép dìm
zhChinese
浸入

Popularity rank trends

Best Rank Ukrainian:
#144592
03.2018
Global:
#381149
06.2023

AI rank trends

Best Rank Ukrainian:
#28495
04.2016
Global:
#91882
11.2012

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Immersion from Wikipedia articles about Klein bottle, Immersion, Boys surface, Submanifold and Embedding. Whereas reading the article about Immersion people most often go to Wikipedia articles on Embedding, Pushforward, Injection, Submersion and Submanifold.

Cumulative results of quality and popularity of the Wikipedia article

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

zh: 浸入

News from 8 July 2025

On 8 July 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Diogo Jota, João Pedro, Ozzy Osbourne, Laura Siegemund, Aryna Sabalenka, Julian McMahon, Jurassic World Rebirth, 2025 FIFA Club World Cup, Amanda Anisimova, F1.

In Ukrainian Wikipedia the most popular articles on that day were: Х-47М2 «Кинджал», Стефанішина Ольга Віталіївна, Гринцевич Назарій Андрійович, Озерне (селище, Житомирський район), Діогу Жота, МіГ-31, Старовойт Роман Володимирович, Україна, Оззі Осборн, Labubu.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information