Interior points, Exterior points and Boundry points in the Topological Space

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  • Опубликовано: 20 дек 2024

Комментарии • 180

  • @theCarrierpoint2
    @theCarrierpoint2 3 года назад +1

    Bahut bahut better teaching sir 🙏🙏

  • @superbminds
    @superbminds Год назад +1

    Jiski poori life samj nhi i wo 10 min ma samj agai ❤
    Hats Off Sir

  • @seharsajid5673
    @seharsajid5673 4 года назад +1

    Allah ap ki maded frmayen ...bht help mili mujy AP KY lectures sy...sir thanks alot💓

  • @sabeensabeeniqbal5908
    @sabeensabeeniqbal5908 2 года назад

    Thanks sir❤️🥰 bht achi samj agee h hmry sir ny tw oper se orra dya tha

  • @zaferkhani9511
    @zaferkhani9511 5 лет назад +3

    MashaAllah Sir Your Teaching Method Is Good .....

  • @rajeevkumargiri6900
    @rajeevkumargiri6900 3 года назад

    Dawar Ji . Your way of teaching is excellent

  • @mazharinfochannel2324
    @mazharinfochannel2324 2 года назад

    Amazing sensational massive and awesome method Sir G ☺️☺️☺️

  • @zahrabatool8324
    @zahrabatool8324 2 года назад

    Sir! Your way of teaching is so great 👍 I am very impressed with you 😊 May Allah success you in every field of life AMEEN 🤲

  • @azanmughal798
    @azanmughal798 5 лет назад +1

    u r such a great topologist.....ur all lecturs r awesome....first time mn ny sir ap ki waja sy interest...

  • @zohaibfaiz5496
    @zohaibfaiz5496 5 лет назад +3

    Thanks lot sir.. I was very confused but now it's very clear.. Keep it up... Appreciate it ♥

  • @Shazaidalishazaidali-r6p
    @Shazaidalishazaidali-r6p Год назад

    Assalam o alikum sir jee your method is very good and easy

  • @aqsamaqsood3765
    @aqsamaqsood3765 5 лет назад +1

    Your method is gud to explain any question . Thanks for this

  • @pinkikumari-fk8vp
    @pinkikumari-fk8vp 6 лет назад +3

    It is very hard paper but your explanation is very easy sir thank you sir

  • @islamisforeverandeverythin6507
    @islamisforeverandeverythin6507 3 года назад

    Very good sir,keeping on working,thanks for helping

  • @munsii5565
    @munsii5565 6 лет назад +2

    sir your doing good job...this presentation just a kind of nactor for me

  • @professormeraj4302
    @professormeraj4302 4 года назад

    Assalam o Alaikum!
    MA Shaa Allah bht zabardast Sir

  • @pinkikumari-fk8vp
    @pinkikumari-fk8vp 6 лет назад +4

    Thanks you sir for this lecture because there is no another video for me on topology keep it up sir thanks once again

    • @sujathaverma136
      @sujathaverma136 6 лет назад

      Hahaha his beard hahaha 😂😂😂😂

    • @ishanmaheshwari5751
      @ishanmaheshwari5751 6 лет назад

      Guys just visit UNDERSTANDING MATHEMATICS channel for videos on engineering mathematics BSC mathematics MSc mathematics...they are awesome 🔥 🔥🔥🔥 and time saving....I am writing after seeing her all videos.....

  • @psfarsi2533
    @psfarsi2533 2 года назад

    wow wow wow. excellent work sir

  • @siddiqueakbar5541
    @siddiqueakbar5541 6 лет назад

    Thanks Sir Allah aapko jaza e kher de. JazzakAllah

  • @aneelafayaz7194
    @aneelafayaz7194 5 лет назад

    Boht achey se explain kea sir Ap ne

  • @sajjadhashmi77
    @sajjadhashmi77 2 года назад

    Great sir ....... ♥️♥️♥️♥️♥️

  • @math8550
    @math8550 2 года назад

    Aslam o alikum sir great mathod

  • @munsii5565
    @munsii5565 6 лет назад

    your all presentation is very much suitable for me

  • @mohammadasim1861
    @mohammadasim1861 5 лет назад +1

    Allah aapko iska ajar zrur dega inshaAllah

  • @KrishnaKumar-cj1ip
    @KrishnaKumar-cj1ip 3 года назад

    Thanq sir, u explain it so easy way.

  • @kashifriaz8331
    @kashifriaz8331 6 лет назад

    Sir good efforts mjy abb interior exterior achi smj agai shukeriya

  • @sajjadhashmi77
    @sajjadhashmi77 2 года назад

    Zabardast ♥️

  • @md.mahmudulhasan907
    @md.mahmudulhasan907 Год назад

    Thank you sir. ❤
    Please make more video on mathematics.

  • @nasrinakter5873
    @nasrinakter5873 Год назад

    Good teacher 🥰

  • @sadafsyed9156
    @sadafsyed9156 5 лет назад

    Shandaar explanation sir

  • @priyamishra2591
    @priyamishra2591 4 года назад

    Your concept excellent 👌👌

  • @442honey
    @442honey 6 лет назад

    Bhai aap bhot sahi padhate ho, i m happy for it

  • @nimrailyas3796
    @nimrailyas3796 6 лет назад

    Thank u sir,ur teaching method is is good

  • @sajeedabegum9235
    @sajeedabegum9235 3 года назад

    Nice teaching sir thank you

  • @Arslanvlogs2709
    @Arslanvlogs2709 4 года назад

    Good method. Thnxx sir

  • @zaidbutt4332
    @zaidbutt4332 3 года назад

    Sir apki btai hoiopen set ki definition kay mutabik to (1,4) bi open set hai kindly guide kar dai

  • @Talhakhan-vn9xt
    @Talhakhan-vn9xt 6 лет назад

    thank you sir ap k lectures ki help se i secure 4 gpa in pure mathematics

    • @DawarAhmad22
      @DawarAhmad22  6 лет назад +1

      Great,,and thanks k app nay muj ko is qabil samja k app mery lectures say help latay ho ,,thanks,,,and Congratulations of your fantastic result,,,,, talha khan aaj mujhay aasay lagta hai k meri mehnat raigan nahi gai,,,,q k log in lectures say faida uthatay hain

  • @amjadiqbal7433
    @amjadiqbal7433 4 года назад

    Very good explanation

  • @KavitaParasannavar-qb6co
    @KavitaParasannavar-qb6co Год назад

    Thank you so much sir 🥰

  • @MWasif-vk2rx
    @MWasif-vk2rx 3 года назад

    2nd example ma int(A) ma 3 and 4 bhi aye ga
    3 k around open set X ha
    isi trha 4 k around bhi open set X ha
    chk plz

  • @sajeedabegum9235
    @sajeedabegum9235 3 года назад

    Nice teaching sir

  • @MrT-hs1kt
    @MrT-hs1kt 6 лет назад

    Thanks sir from Multan 😊😊

  • @mkashif8708
    @mkashif8708 4 года назад +1

    Sir g thanks from satlaj

  • @aounawan4934
    @aounawan4934 5 лет назад

    Sir x ka subset lana lazmi ha kga?

  • @anwarulhaq6668
    @anwarulhaq6668 5 лет назад +1

    Frontier point kya h

  • @mubasharayamin5033
    @mubasharayamin5033 5 лет назад

    Zabardast 👌

  • @shamijutt3677
    @shamijutt3677 4 года назад +2

    3 and 4 will also belong to Int(A) because there exists an open set X such that 3, 4 are members of X and X is a subset of A=X

    • @ayaanahmad3078
      @ayaanahmad3078 2 года назад

      Bhai woh galat karayai question (2). Interior of A= X (1,2,3,4) . Exterior of A = phia. Boundary point of A= phia

  • @samranahmad8519
    @samranahmad8519 4 года назад

    V v v excellent method

  • @zainabiqbal4996
    @zainabiqbal4996 6 лет назад

    very nice sir.......

  • @mathclub2444
    @mathclub2444 6 лет назад

    V nice dear

  • @waseemsahib3070
    @waseemsahib3070 5 лет назад +2

    Sir in second example 4 is also the interior point of A becoz 4£X & X is contained in A

  • @bhawanagoyal1318
    @bhawanagoyal1318 5 лет назад

    Excellent

  • @zahidfarooq8114
    @zahidfarooq8114 6 лет назад

    Sir ur doing good for learners..

    • @SupposeMath
      @SupposeMath 4 года назад

      For lectures from the book of Topology by Colin Adams watch
      ruclips.net/video/w6fvU87hP5w/видео.html

  • @m.awais_ur_rehman
    @m.awais_ur_rehman 5 лет назад

    nice sir i really need it

  • @bilalbsmath3344
    @bilalbsmath3344 2 года назад

    Thanks so much sir

  • @kamranahmad1207
    @kamranahmad1207 2 года назад +1

    I think 3 and 4 are interior points in example 2.

  • @shahidjavaid2703
    @shahidjavaid2703 6 лет назад

    thanks sir g you are Great and Genious

  • @Mathpulse11121
    @Mathpulse11121 4 года назад

    Good teaching style concept base knowledge
    Sir this video is not clear I mean resolution

  • @sayyedmohsin2614
    @sayyedmohsin2614 5 лет назад

    Very smart mathod sir

  • @noori4718
    @noori4718 3 года назад

    V good

  • @AreejManzoorS--
    @AreejManzoorS-- 4 года назад

    Thank you for sharing this

  • @bishaliitroorkee
    @bishaliitroorkee 6 лет назад

    Superb sir

  • @inzamam1124
    @inzamam1124 Год назад

    Love you sir g

  • @zainabiqbal4996
    @zainabiqbal4996 6 лет назад

    but sir kysy pta lgy ga k 1 ,2 ko ik bracket me likhyn ya seperate?? plzz help me sir.....

  • @UzairKhan-wk3rm
    @UzairKhan-wk3rm 6 лет назад

    sir u r great......

    • @SupposeMath
      @SupposeMath 4 года назад

      For lectures of Topology watch
      ruclips.net/video/w6fvU87hP5w/видео.html

  • @usmankhalid-p8e
    @usmankhalid-p8e 7 месяцев назад

    sir x ma be all element hoty ha to wo interior ma q ni

  • @kaverikodni9390
    @kaverikodni9390 3 года назад

    Thank you sir

  • @factnewschannel1245
    @factnewschannel1245 6 лет назад +1

    plz it describes with example of cofinte topology

  • @mohammadasim1861
    @mohammadasim1861 5 лет назад

    great job

  • @faiqatareen6723
    @faiqatareen6723 2 года назад

    Sir finite intersection of topology is also a topology of x yay btai plz

  • @mdshakilhosen4499
    @mdshakilhosen4499 2 года назад

    Thank you

  • @shivbhawangupta9256
    @shivbhawangupta9256 6 лет назад

    Very nice

  • @rabianasir742
    @rabianasir742 6 лет назад

    Mathematics pay or b videos upload kren plzzz very nice lecture

    • @DawarAhmad22
      @DawarAhmad22  6 лет назад +1

      Ok Inshaallah ap maths k topics btatay jain to meray liay aasani ho jai gi ,,, un topics per koshish karon ga videos upload karnay ki ,,,, thanks

    • @rabianasir742
      @rabianasir742 6 лет назад

      Dawar Ahmad
      Sir real analysis pay videos bnaye
      Or linear algebra pay

    • @DawarAhmad22
      @DawarAhmad22  6 лет назад

      InshaAllah real analysis ok inshaAllah

  • @binteadam2317
    @binteadam2317 6 лет назад

    Very helpful

  • @ridashehzadi531
    @ridashehzadi531 5 лет назад

    Great sir

  • @entertainmentrao2948
    @entertainmentrao2948 4 года назад +1

    Thnx

  • @msaqib2607
    @msaqib2607 4 года назад

    Good

    • @DawarAhmad22
      @DawarAhmad22  4 года назад +1

      Thanks

    • @msaqib2607
      @msaqib2607 4 года назад

      @@DawarAhmad22 sir ap ny topology k throum py videos ni bani ???

  • @AbdulGafar-b5j
    @AbdulGafar-b5j 7 месяцев назад

    Jazakallah

  • @israbatool2492
    @israbatool2492 6 лет назад

    thank u so much sr.

  • @KamranKami-ey4fv
    @KamranKami-ey4fv 4 года назад

    Sir please construction six different topologies inset or real no and describe their basis

  • @bimladevi2697
    @bimladevi2697 3 года назад

    Thqqq so much

  • @islamicstudio3642
    @islamicstudio3642 10 месяцев назад

    ❤❤

  • @habiburrehman4494
    @habiburrehman4494 5 лет назад

    sir topolgy change krna say answer change ho jya to phr

    • @SupposeMath
      @SupposeMath 4 года назад

      For lectures of Topology watch
      ruclips.net/video/w6fvU87hP5w/видео.html

  • @mehrunisasaeed8384
    @mehrunisasaeed8384 4 года назад

    Thanks sir 😊

  • @officialkhan9484
    @officialkhan9484 2 года назад

    Shukriya

  • @zishanhaider7005
    @zishanhaider7005 5 лет назад

    GOOD

  • @ilmcuriosity9706
    @ilmcuriosity9706 6 лет назад

    Bhaijaan metric spaces topic pe video bnao

    • @DawarAhmad22
      @DawarAhmad22  6 лет назад

      Yar Metric Space per to video bana chuka hoon,,,,ap mera channal search karo ,,,, Thanks

  • @ashfaqkhan950
    @ashfaqkhan950 5 лет назад

    Particular point topology and exclude point topology par video upload kara please sir..

    • @SupposeMath
      @SupposeMath 4 года назад

      Here is a lecture about particular point topology
      ruclips.net/video/tuemIXCxRtU/видео.html

    • @SupposeMath
      @SupposeMath 4 года назад

      Also lectures are from Colin Adams

  • @SaleemKhan-yg2sw
    @SaleemKhan-yg2sw 5 лет назад

    Sir matric space k nieghborhood per ik vadio bnalo

  • @Tareq--ri6qe
    @Tareq--ri6qe 2 года назад

    🥰🥰🥰

  • @nikhildixena8162
    @nikhildixena8162 6 лет назад

    U r graet topologist of the world

  • @mahira3547
    @mahira3547 4 года назад

    Hello sir can you plzzz make a video on cohomology 🙏plzzz Sir

  • @factnewschannel1245
    @factnewschannel1245 6 лет назад

    it is so easy but i m confusing wrt to different kindof topo e.g standard topology discrete topology

  • @msrealestateandautosagent9495
    @msrealestateandautosagent9495 4 года назад

    Sir all universities is closed because of covida 19 so us paper of Msc ( MATH) will be online hou gy so can you help me provided us all MCQ'S of M.sc mathematics please

  • @ZakiaKhanomTisha
    @ZakiaKhanomTisha 4 года назад

    Walaikumus Salam, thank you

  • @priyamishra2591
    @priyamishra2591 4 года назад

    Thank u sir

  • @omerfarooq5058
    @omerfarooq5058 5 лет назад

    how 3 and 4 is not the the interior point ,we have X in topology that is subset of A

    • @SupposeMath
      @SupposeMath 4 года назад

      For lectures of Topology watch
      ruclips.net/video/w6fvU87hP5w/видео.html

  • @umairshamoon1187
    @umairshamoon1187 5 лет назад

    Sir mera papr hai so mjhy kch questns k ans dy dyn

    • @SupposeMath
      @SupposeMath 4 года назад

      For lectures of Topology watch
      ruclips.net/video/w6fvU87hP5w/видео.html
      You can ask any question

  • @ummehabiba3600
    @ummehabiba3600 2 года назад

    Sir Kia aap ake past paper ke short question solve kar den gy plzz sir kuch question nii mil ry subhu paper ha

  • @maryamusman6674
    @maryamusman6674 6 лет назад

    Sir book me to agr a belong kry (a, b) se tb b usy consider kia jata he but aapne nhi kia I am confused

    • @SupposeMath
      @SupposeMath 4 года назад

      For lectures of Topology watch
      ruclips.net/video/w6fvU87hP5w/видео.html