Isolated Point, Interior Point, Exterior point, Boundary & Frontier Point: Real Analysis| Topology-7

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  • Опубликовано: 18 дек 2024

Комментарии • 134

  • @snehadwivedi7882
    @snehadwivedi7882 4 года назад +32

    THANK YOU Sir, your teaching not only help me to complete the topic theoretically but also help me to realise and understand the topic. recently I completed Complex Analysis with help of your videos and now I am way to Real Analysis.

  • @jainshikhar222
    @jainshikhar222 2 года назад +4

    Sir agar aapki ki video nhi dekhta to main ye topics book main skip kar deta aur uski bahut wajah se bahut knowledge bhi rah jati janane se. Thank you sir🙏

  • @chandigarh...1437
    @chandigarh...1437 3 года назад +5

    Thanks so much sir... Rabb thudi umar bhut lami kre sir. Or rabb thunu bhut sariya khushiya deve.. Ap bhut hard work krva rhe o sir thanks sir 😍👍👍👍

  • @siddharthkhandelwal933
    @siddharthkhandelwal933 4 года назад +16

    It feels you live with Real Analysis . All the videos clear concepts so well in such a short even i get amazed. ThankYou for making these videos keep covering all the topics of real analysis

  • @praveenkumarbrathod7299
    @praveenkumarbrathod7299 4 года назад +15

    As always great explanation which left behind no doubts thanks a lot sir we are humbly waiting and please do complete whole chapter sir

  • @tripling2266
    @tripling2266 27 дней назад

    Sir, you are just amazing,, 💕❤❤mene itna accha explanation kisi ka nahi dekha

  • @komaltiwarii22
    @komaltiwarii22 3 года назад +2

    🙏🙏I have no words....your teaching is amazing....

  • @sachinrathodb8850
    @sachinrathodb8850 4 года назад +6

    What an explanation sir I really understood whole concepts thanks a lot
    Very good morning Sir we are eagerly waiting for next concepts

  • @YadavVlogs-ed6xo
    @YadavVlogs-ed6xo 2 года назад +2

    Wow 👌 wonderful explanation I am thankfulness of your teaching experience 😀 👏 👍

  • @kailasborgade4296
    @kailasborgade4296 4 года назад +2

    Greatly understand the all beats ,Your teaching style is too good, Thank you si much

  • @nehadiwakar6927
    @nehadiwakar6927 4 года назад +1

    Fantastic video ek. Ek doubt clr hogya h🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩🤩bhot s teacher s ye sb pdha but fir v doubt taa now clear❤️🙏🙏🙏🙏🙏🙏🙏🙏🙏

  • @tanzeelasiddique439
    @tanzeelasiddique439 4 года назад +5

    Thank you very much sir.May Allah give you more and more success. Allah bless you.

    • @adksongs1524
      @adksongs1524 3 года назад

      Bro jo inse pad rhe h unke liye bhi kuch dua kar do

  • @MuhammadAbbas-xn5fv
    @MuhammadAbbas-xn5fv 4 года назад +2

    very very nice explanation sir you are great
    keep it up

  • @jasmeentuba9079
    @jasmeentuba9079 3 года назад

    Sbhi set and Point Axa lga Vdo dekh kr pura smjh me aaya Thnx sir

  • @sasmitasahu2704
    @sasmitasahu2704 3 года назад +4

    I think you have such a great explanation in this chapter I have ever seen thank you sir 🙏🙏🙏

  • @yamunadatt825
    @yamunadatt825 4 года назад +2

    Excellent way of explanation 👌👌👌

  • @nitusharma9607
    @nitusharma9607 3 года назад +1

    really sir your explanation is like i see and feel every topic how these are .

  • @syedfaizan5841
    @syedfaizan5841 3 года назад

    Ekdum Best 👍

  • @bsmathslecturesandbeststat4881
    @bsmathslecturesandbeststat4881 2 года назад

    thanks sir ...such a great method of teaching...from pakistan.

  • @rajkala9544
    @rajkala9544 3 года назад +1

    What an explanation of this definition osm sir.. Your way of teaching is like dubey sir..
    I think so You are his student

  • @Puspita4021
    @Puspita4021 Год назад

    You are too much good at analysis sir, thank you for teaching us

  • @artidevi8628
    @artidevi8628 4 года назад

    Aapke Vedio dekhne ki vjh se mere sare doubts clear ho gye

  • @srittampanigrahi4810
    @srittampanigrahi4810 4 года назад +1

    You're a good teacher. I like your teaching 😄

  • @jyotikamishra1092
    @jyotikamishra1092 4 года назад

    Ossm osmm osmm.... Very nice explanation sir 🤩 🤩 🤩 🤩 🤩

  • @vinayaksahu5334
    @vinayaksahu5334 3 года назад

    love you sir ,saare doubts uda diye aapne

  • @gamingshahriyar8142
    @gamingshahriyar8142 4 года назад +2

    Sir..you are the best....love you sir...I am Bangladeshi.....
    Sir,..Real Analysis subject ka or video make karo sir...all chepter please please

  • @PriyaYadav-he1ij
    @PriyaYadav-he1ij 3 года назад +2

    Sir .... thank u for good explanation and my mostly doubts are clear .. 😊🙌🙏

  • @mathspuzzlebymrvishu3621
    @mathspuzzlebymrvishu3621 3 года назад

    Bhut bdiya sir ji

  • @latasharma7163
    @latasharma7163 3 года назад +1

    Amazing sir 👌👌

  • @vishalvikramsingh7909
    @vishalvikramsingh7909 3 года назад

    Sir your teaching style is unique
    Tsm

  • @allinone-fz4lt
    @allinone-fz4lt 2 года назад

    thanks sir, u clearfied my all doubt

  • @explorewithsata
    @explorewithsata Год назад

    Best lecture ever ❣️

  • @Aini-vv6nl
    @Aini-vv6nl 9 месяцев назад

    good I learn from your video

  • @kanchangupta71
    @kanchangupta71 3 года назад +1

    Thanku sir it is very helpful 🙏

  • @shaileshmehra6721
    @shaileshmehra6721 3 года назад

    Bhut achaa smjh ayaa

  • @hustle226
    @hustle226 2 года назад

    Awesome explanation sir ,

  • @amitpathak8513
    @amitpathak8513 3 года назад

    Brilliant way of teaching 👍

  • @manoranjansahu7161
    @manoranjansahu7161 2 года назад

    Very Good!!!

  • @diproy2278
    @diproy2278 2 года назад

    Thank you sir for such an astonishing explanation.🙏

  • @Komal-g9x
    @Komal-g9x 3 месяца назад

    Thank You very much sir 🙏🙏

  • @ShivamPandey-ne9sd
    @ShivamPandey-ne9sd 3 года назад

    Outstanding lecture @ sir

  • @mathmantra8237
    @mathmantra8237 3 года назад

    Sir, You are really great. ❤️❤️❤️❤️

  • @vivekanandgupta2220
    @vivekanandgupta2220 3 года назад

    Super sir ji

  • @rabighodai5558
    @rabighodai5558 8 месяцев назад

    Thanks a lot Sir❤❤❤

  • @amayrastales9644
    @amayrastales9644 2 года назад

    Very helpful

  • @tilottamamishra9937
    @tilottamamishra9937 4 года назад

    M loving your videos❤😍

  • @abhishekgaur3845
    @abhishekgaur3845 3 года назад

    Very nice explanation sir 🙏

  • @muhammadishfaq5667
    @muhammadishfaq5667 2 года назад

    What a method sir

  • @8utkarshsahu609
    @8utkarshsahu609 3 года назад

    Nice explanation

  • @jigarbarot9886
    @jigarbarot9886 4 года назад

    Very nice sir ...thanka

  • @artidevi8628
    @artidevi8628 4 года назад +1

    Thank u so much sir

  • @bhawnapariharvlogs1584
    @bhawnapariharvlogs1584 4 года назад

    Excellent job 👍

  • @Sorya-gf7qw
    @Sorya-gf7qw 3 года назад

    Sir 8:36 you said if S is nbd of alpha then it's interior point . let
    S = (1 , 3 ) U (5, 6) then 2 is obviously interior point of S but can we say that whole set S is nbd of 2 or just intervel ( 1 , 3 ) a part of of S . We can't say that ( 5 , 6 ) is nbd of 2 ofcourse .
    Great series I am learning a lot 😊

  • @AnkitMishra-rm4qo
    @AnkitMishra-rm4qo 4 года назад

    Genuine work...

  • @tejpalchauhan8917
    @tejpalchauhan8917 2 года назад

    Nice 🥰🙏

  • @NisarahmadAhmadnisar
    @NisarahmadAhmadnisar 3 года назад

    Welll Vvvvvvvv good

  • @waqasyounas9972
    @waqasyounas9972 3 года назад

    Zbrdast sir

  • @vaishnavimishra5667
    @vaishnavimishra5667 2 года назад

    Thank you very much

  • @jibeswardas933
    @jibeswardas933 3 года назад

    Amazing sir😍

  • @monughusinga7325
    @monughusinga7325 4 года назад

    Love you sir👍❤️💞

  • @sandeeppal-gd7le
    @sandeeppal-gd7le 4 года назад

    thankyou sir , सर जल्द से कवर कीजिए इस युनिट को 2-3 दिन में

  • @hunzadar5937
    @hunzadar5937 4 года назад

    Excellent sir

  • @hariomtekeda7423
    @hariomtekeda7423 4 года назад

    Nice sir 👍👍👍

  • @prakharchaube3484
    @prakharchaube3484 4 года назад

    Very nice

  • @Sachinkumar-pl3pr
    @Sachinkumar-pl3pr 4 года назад

    Sir aap bahut accha bta rhe ho
    Per sar boundary point of Q is R
    = Q closer - Q interior
    =Q union-Q'-Qinterior
    =QunionR-empty
    =R
    That's right ans

  • @someshnogia2009
    @someshnogia2009 4 года назад +1

    Sir, I am live in Ajmer and you also live in Ajmer then I want to discuss with you about many questions.

  • @conceptualshubh7934
    @conceptualshubh7934 4 года назад

    Great explanation sir🙏💐

  • @goutambarai5625
    @goutambarai5625 Год назад

    Love you Sir

  • @sandippatwari927
    @sandippatwari927 2 года назад

    गुरूजी मैं iit jam का तैयारी करना चाहता हुँ , आप बता देते की आपका कौन 2 वीडियो important hai for iit jam

  • @aadimrinal9561
    @aadimrinal9561 3 года назад

    Thank u sir❤️❤️❤️

  • @awm2645
    @awm2645 4 года назад

    Great Sir

  • @rabiaakmal8751
    @rabiaakmal8751 3 года назад

    Thanks a lot.

  • @ArjunAcademyBidar
    @ArjunAcademyBidar 3 года назад +1

    Sir, I'm preparing for kset exam, how to get your notes please tel me sir

  • @mallukademani1373
    @mallukademani1373 Год назад

    Mention one best Chanel for topology 1 and topology2
    And laplace 1,2,3 like u

  • @vandanakumari1803
    @vandanakumari1803 4 года назад

    You are amazing

  • @akashmishra2785
    @akashmishra2785 2 года назад

    Thanks sir

  • @ghotar.3323
    @ghotar.3323 3 года назад

    Thank you sir

  • @explorewithsata
    @explorewithsata Год назад +1

    Sir I have a question... Ext(Q) = R - Q .. why not possible?

  • @simarkaur6343
    @simarkaur6343 4 года назад +1

    Sir can adherent points be frontier points?

  • @ranveersharma.8060
    @ranveersharma.8060 Год назад

    Sr rational no. Ka interior points empty kyu hota h

  • @GAURAVSINGH-uy9gp
    @GAURAVSINGH-uy9gp 4 года назад +3

    Padhate ho sir ekdam makhkhan jaisa

  • @rajashreesuryawanshi4471
    @rajashreesuryawanshi4471 3 года назад

    Sir isolated pt are also called frontier pt.?

  • @sonisaroj2206
    @sonisaroj2206 4 года назад

    Good night sir ji mai soni saroj bahut khush hu ki aapne mere comment ko highlight kiya hai but aapne reply nahi kiya ki aap tenser analysis per vedio banayege ki nahi

  • @rsqwerty-cv4xg
    @rsqwerty-cv4xg Год назад +1

  • @rajashreesuryawanshi4471
    @rajashreesuryawanshi4471 3 года назад

    Sir what is diffence between isolated pt adp both are same sir

    • @anjali-xg6pk
      @anjali-xg6pk 3 года назад

      Adp need not be member of the set bt in case of isolated pt , pt must be a member of the set.

  • @shivamshukla9611
    @shivamshukla9611 2 года назад

    Good explanation but some time i feel confused

  • @someshnogia2009
    @someshnogia2009 4 года назад

    Sir frontier point ko adherent point bol sakate hai kya

  • @avikagupta822
    @avikagupta822 2 года назад

    Is adherent point and interior point same?

  • @mirrafee8912
    @mirrafee8912 3 года назад

    Thku sir...notes plz

  • @studychannelmathematics2900
    @studychannelmathematics2900 3 года назад

    Sir real analysis ke or video dalo please sir

  • @tanmayverma7913
    @tanmayverma7913 2 месяца назад

    💯💯💯👌👌👌👏

  • @abdullahkarim9131
    @abdullahkarim9131 4 года назад

    Sir I need a help..I'm finding your video about Cauchy Goursal theorm...but I can't find. Please tell if you made video

  • @manofculture4396
    @manofculture4396 4 года назад

    Sir can this be the definition of
    Boundary point - Let S C R then α € S
    is a frontier point of S , if it is neither interior point nor exterior point of S.

  • @renumehramathstutor7789
    @renumehramathstutor7789 4 года назад

    sir intervals ka exterior kta niklega?

  • @studyhighway4443
    @studyhighway4443 3 года назад

    Sir (0,1) is neighbourhood of each of its points

  • @shaikhbilal6510
    @shaikhbilal6510 3 года назад

    Int(Q) is phi?

  • @Ex_salafi
    @Ex_salafi 4 года назад +4

    I don't know why 5 dislikes....but anyway thank you sir

  • @RANJEETSINGH-mz4py
    @RANJEETSINGH-mz4py 4 года назад

    Sir please do some examples