Topology | Definition Of Topology With Example | Co countable and Cofinite Topology

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  • Опубликовано: 4 янв 2025

Комментарии • 354

  • @infinityp3455
    @infinityp3455 2 года назад +29

    Sir thanks ,aapne topology topic start kiya seriously i was waiting for it

  • @aksamqasim805
    @aksamqasim805 2 года назад +5

    Sir thank you very much for starting topology videos......

  • @zaibkakar9139
    @zaibkakar9139 2 года назад +2

    thank u so much sir...ap ki videos say main mphil admission k ly tyari karhi ho har topic bht achy sy explain kia hai

  • @agent_op_is_live
    @agent_op_is_live Год назад +3

    Sir your confidence and energy increases over a preiod of time in youtube classes

  • @paominlienguite2397
    @paominlienguite2397 2 года назад

    Thanks

  • @highermathematics-bx4mi
    @highermathematics-bx4mi 2 года назад +9

    Jazaki Allah khyran respected dear sir
    May Allah bless you and your family Ameen
    May Allah succeeded us here and here after Ameen

    • @kaleemqadri6217
      @kaleemqadri6217 15 дней назад

      @@highermathematics-bx4mi asalamualykum ameen summa ameen

  • @Vivek021e
    @Vivek021e 2 года назад +22

    B,c,d are correct options, and Thanks sir for teaching us such complex concepts in easy way
    Hope i get a heart ♥

  • @tehseenlatif6600
    @tehseenlatif6600 10 месяцев назад

    Kamaaaal.... Mind Blowing... Great Job sir...

  • @siddiquiikram5673
    @siddiquiikram5673 2 года назад +4

    Very good initiative sir please complete this series as soon as possible pure maths required teachers like you

  • @chandrajasengupta9494
    @chandrajasengupta9494 2 года назад +5

    Thank you sir for starting this topic. It was much needed. 😊

  • @gulhasnain-u2y
    @gulhasnain-u2y Год назад

    thanks sir for putting so much effort for the selfless service of millions of students who could not afford to have paid classes... God bless you sir...

  • @shreyashidas2618
    @shreyashidas2618 2 года назад +16

    Thank you sir for starting this topic 🙏😇it will be very beneficial for us.... Sir after this please cover the course of Functional Analysis🙏

  • @ushasahu7208
    @ushasahu7208 2 года назад

    Wow sir ji amaging sir ji bohot hi achha samjhaye🙏

  • @nikitasharma7879
    @nikitasharma7879 2 года назад +7

    This is my favourite topic from pure Mathematics Thankuu sir Now I can brush up my concepts 👍😀

    • @haiderabbasshah7674
      @haiderabbasshah7674 2 года назад +1

      It isn't from applied maths. It is pure maths

    • @nikitasharma7879
      @nikitasharma7879 2 года назад

      @@haiderabbasshah7674 👍

    • @mr.bb6962
      @mr.bb6962 2 года назад

      @@nikitasharma7879 how yrr!! Topological space i can, but others topics r very difficult for me 😔..give me some tips 🙏

    • @nikitasharma7879
      @nikitasharma7879 2 года назад

      @@mr.bb6962 just follow gp sir classes and try to make figures by yourself for understanding definition ...and thus you can also solve theorems

    • @devd_rx
      @devd_rx Год назад

      Is topology taught in indian colleges and foreign the same curriculum?

  • @anjaligautam1144
    @anjaligautam1144 2 года назад +10

    Option B,C,D is correct answer 👍👍
    Thank you so much sir very helpful video and your explain very well sir 👌👌🙏🙏🙏🤗

    • @meneha191
      @meneha191 2 года назад

      plzz option d explain

    • @sarthaksahoo8423
      @sarthaksahoo8423 2 года назад +1

      Why c option

    • @zakishaidar
      @zakishaidar 2 года назад +1

      @@meneha191 Because Every collection of Trivial Subset always a standard topology

    • @pranilthakare7585
      @pranilthakare7585 2 года назад

      @@meneha191 because it satisfies all the properties and addition of {c} does not produce any complications so the ans

    • @AdityaUnfiltered0501
      @AdityaUnfiltered0501 2 года назад +5

      Not option c , only option b & d is correct.

  • @allrounders1296
    @allrounders1296 Год назад +1

    Thnks sir....... 👍👍👍 Very easy explanation

  • @nazkhan2789
    @nazkhan2789 2 года назад

    I have to say you are best teacher

  • @mulatemagne3064
    @mulatemagne3064 2 года назад +1

    thanks to sir what i take this course clearly.

  • @prabhatmishraprayagrajwale2118
    @prabhatmishraprayagrajwale2118 2 года назад +3

    Congratulations sir for 1 Million 🎊🙏

  • @ishachoudharybnl
    @ishachoudharybnl 2 года назад +1

    thnku so much sir for start topology , i feel ki ab mere exam ache honge ..
    nd functional analysis bhi sir start krdo 2nd sem k exam ane vle aa i ll be sure ki apse pdke jrur clear honge exam.
    or topology m bhi filters,identification topolog, functors ye topic bhi cover krdena es bar syllabas m hai...nd thnki so much sir🙇‍♀️🙇‍♀️🙇‍♀️🙇‍♀️

  • @aparnarai7578
    @aparnarai7578 2 года назад

    Thank you very much sir, kitne time se wait kr rhi thi 🙏🙏🙏🤗🤗🤗🤗

  • @prachigupta7610
    @prachigupta7610 2 года назад +4

    Plz sir also cover more topics of topology for msc students 🙏🙏

  • @sumitas8998
    @sumitas8998 2 года назад +10

    Thank you sir🙏
    B&D are answers.

    • @priyeshverma9353
      @priyeshverma9353 11 месяцев назад +2

      C also

    • @mathematicssummary774
      @mathematicssummary774 3 месяца назад +1

      ​@@priyeshverma9353 Not C as the union of {a} ,{ b, c} ={a, b, c} is not an element of T3.

    • @KhushiBHAIYA
      @KhushiBHAIYA Месяц назад

      ​@@mathematicssummary774 where is your mind ?? The Union a, b, c is already contained in set in the form of X ; X means a, b, c that is given in question... So this a, b, c set is already present in all four options

  • @moonlightlatte872
    @moonlightlatte872 2 года назад +8

    Sir I can't express in words how helped you in your work for all students...🙏🙏🙏🙏 Really really thank you sir keep doing this for us it's humble request.....👍🙏

  • @archanasapi3829
    @archanasapi3829 Год назад +8

    Thank you sir for this video ❤
    Option b,c,d are correct 💯

  • @banashreekuila3385
    @banashreekuila3385 2 года назад +2

    Thanks sir please continue this series 🙏🙏

  • @filliz9208
    @filliz9208 2 года назад +2

    Thank you... thank you so much 💖

  • @ROSHANKUMARJAYSWAL
    @ROSHANKUMARJAYSWAL 2 года назад +1

    Wah sir... Thank You So Much... Much awaited course...

  • @mathshub798
    @mathshub798 Год назад

    Bhut bhut badiya class h sir thank you

  • @readystudygo4174
    @readystudygo4174 Год назад

    Happy Teacher's Day sir🙏🙏🙏

  • @shivanyakapoor1074
    @shivanyakapoor1074 2 года назад +4

    Sir please upload more and more topics from msc final year mathematics

  • @sachinboarde8749
    @sachinboarde8749 2 года назад +2

    sir pls keep video on mathematical modelling
    and imp question

  • @swapanakotoju5522
    @swapanakotoju5522 2 года назад +1

    Thank you sir🙏. Ans: B,C, D

  • @bhawanisingh2756
    @bhawanisingh2756 2 года назад +1

    Thank you sr for this topology series..

  • @nitishjaiswal9537
    @nitishjaiswal9537 Год назад +2

    Thanku sir 😊
    Ans . B, C

  • @wajihaakbar1401
    @wajihaakbar1401 Год назад

    Great work sir!! respect from Pakistan

  • @sarojverma9331
    @sarojverma9331 2 года назад +29

    OPTION B,C, D IS TOPOLOGY

  • @Ravi-se8bn
    @Ravi-se8bn 2 года назад +1

    Please keep on complete course after 20 days topology exam

  • @somduttamitra8588
    @somduttamitra8588 2 года назад +1

    Thank you sir for this topic.

  • @dhimandas1183
    @dhimandas1183 2 года назад +1

    Very good lecture sir ☺️🤗

  • @motivationallife30k
    @motivationallife30k 2 года назад

    Option A,B,C are topology
    sir aap bahut achchha concept dete hai thanks ji

  • @KrishnaKumar-uj9wf
    @KrishnaKumar-uj9wf 2 года назад +4

    sir please upload this topics Introduction of generalized Hypergeometric function. Differential equation satisfied by pFq. Saclschut ‘z’ Theorem,
    whipples theorem Dixon’s theorem. Integrals involving generalized Hypergeometric function. Contiguous function
    relations. Kummer’s Theorem. Ramanujans theorem. (2 Questions)
    Unit - II
    Introduction of Hermite Polynomials. Recurrence relation. Orthogonal properties, expansion of polynomials generating
    funtion. Rodrigues formula for Hermite polynomials. (2 Questions)
    Unit - III
    Introduction of Laguerre polymials. Recurrence relations, generating relating. Rodrigues formula and orthogonality.
    Expamry special results. Laguerre’s associated differential equation. More generating function. (2 Questions)
    Unit - IV
    Introduction of Jacobi Polynomials generating function. Rodrigues formula and orthogonality. Introduction of Ellipite
    function. Properties. Weierstrass ellipite. Jacobion theta function zeros of theta function

  • @SWADHINNAYAK-z2r
    @SWADHINNAYAK-z2r Год назад +1

    Sir I request to you please telling which book best for topology

  • @anushakagarg3012
    @anushakagarg3012 2 года назад +5

    Thank you so much sir, yesterday I wished for your topology topics and today you full filled my wish 🤗

  • @Bhawna_12352.
    @Bhawna_12352. 2 года назад

    Thanku so much sir for this topic.....

  • @Whatsfortoday49
    @Whatsfortoday49 2 года назад

    Thank you sir. I am waiting for topology

  • @subhanali1327
    @subhanali1327 2 года назад +2

    B and D are the topologies on X={a,b,c}

  • @enigmaticPHYSICS
    @enigmaticPHYSICS 2 года назад

    धांसू 🙏🏻

  • @IbrarKhan-ek4jb
    @IbrarKhan-ek4jb 2 года назад +1

    Greate initiative

  • @rsingha7321
    @rsingha7321 Год назад

    You are great. Sir

  • @paominlienguite2397
    @paominlienguite2397 2 года назад

    Sir, thank you sooooookuch 😭😭😭😭

  • @mahreennaseer1561
    @mahreennaseer1561 8 месяцев назад

    Great 👍

  • @ghulamghous672
    @ghulamghous672 2 года назад +1

    What is metrizable topology,seirpinski topology,usual topology,results related to closed set in topology

  • @nazkhan2789
    @nazkhan2789 2 года назад +2

    Asslam o Alaikum option c and d both are correct

  • @Foodiesonly143
    @Foodiesonly143 Год назад

    Wow sir thanks you sooo much sir ap ne yetne ache se smajaya topology ki muhje smaaj aagaya Or que bhi jo apne bataya vo bhi ache se aaye smaaj muhje last vaale que ka ans B aayega kya sir???

  • @pushpasahu5413
    @pushpasahu5413 Год назад +2

    Answer=b,c,d

  • @ppatrawani2003
    @ppatrawani2003 7 месяцев назад +2

    Only D is correct 💯

  • @rajkumar9144
    @rajkumar9144 2 месяца назад

    Sir can you refer some books for topology for basics?

  • @krishmehra3267
    @krishmehra3267 6 месяцев назад +1

    2:39 Does anyone know what is the capital X is

  • @mashabear8881
    @mashabear8881 6 месяцев назад

    Sir plz discuss induce topology..

  • @letsreadhappily3887
    @letsreadhappily3887 2 года назад

    I was waiting for this topic

    • @rdx_Chandra
      @rdx_Chandra 2 года назад

      Explain kar de to yrr kaise huwa

  • @melodiousprabahini
    @melodiousprabahini 2 года назад

    Thank you so much🥰🥰 sir🙏🙏

  • @karan_xt
    @karan_xt 6 месяцев назад

    Which lecture is about countability and axioms of separability ?

  • @alishanarula5806
    @alishanarula5806 2 года назад

    B c d are the correct answer.. Thank you sir for this new topic

    • @meneha191
      @meneha191 2 года назад

      plzz tell me option d kaise hua

  • @bedantakumarnath9947
    @bedantakumarnath9947 2 года назад +1

    Sir after this pls cover rigid dynamics

  • @geniusinmaths7762
    @geniusinmaths7762 2 года назад

    an amazig teacher....

  • @ChandanKumar-cf5pm
    @ChandanKumar-cf5pm 2 года назад +1

    Sir Statics par v video upload kijiye pls

  • @manigamer540
    @manigamer540 2 года назад +1

    Danywaad sir
    I am doing MSc mathematics by non attending
    It is possible because of you
    Again thanks alot ...

    • @sabrawahid2755
      @sabrawahid2755 Год назад

      Hi kya distance se msc mathematics krne se koi disadvantage hai??? Agr net / jrf selection ho gya to kya non attending ke wjah se koi issue to nhi hoga assistant professor ke liye selection m

  • @SANJEEVKUMAR-wj4sf
    @SANJEEVKUMAR-wj4sf 2 года назад

    Thank sir for helping

  • @mhakalbhakt1234
    @mhakalbhakt1234 Год назад +1

    Ye MSC ka syllabus hai kya sir 🙏

  • @ashishsharma9119
    @ashishsharma9119 2 года назад

    Sir explanation is very good, but speed of your voice is so high. If it is slow then a medium is student like me also understand.

  • @alodas497
    @alodas497 2 года назад

    Thank you sir 😊

  • @souvikgiri4616
    @souvikgiri4616 2 года назад +4

    Thank 🙏🙏🙏you sir......
    Correct✅ option B, C, D

  • @dronamrajuchanda3262
    @dronamrajuchanda3262 2 года назад

    ans B,C,D thank you sir

  • @omymashiblerima791
    @omymashiblerima791 Год назад +1

    Correct answer: b, c, d
    Am I right?

    • @HeWhoKnows-
      @HeWhoKnows- Год назад

      Wrong B is not a topology since {a, b} , {b, c}, {a, c} and {a, b, c} is not in T

  • @32-rishavsharma39
    @32-rishavsharma39 Год назад

    Sir please try to explain topics by writing ... concept of mathematical topics is not easy to understood by ppt..its just request sir🙏🙏

  • @sampurnanandsingh4564
    @sampurnanandsingh4564 2 года назад +1

    Sir topology ka use in daily life kaise kare taki topology ko padane me maja aye please sir ji bataye

  • @krishnamusicalworld7842
    @krishnamusicalworld7842 2 года назад

    Sir, Functional Analysis
    Operation Reaserch ll
    Par videos banaeye

  • @IExotic_Boys
    @IExotic_Boys 2 года назад

    Sir "Statics and dynamics" padha dijiye please

  • @mustaqeem6097
    @mustaqeem6097 2 года назад

    Thanks sir 👍❤

  • @AnushreeRajbhar3394
    @AnushreeRajbhar3394 2 года назад

    Sir please 4and5 paper bhi pda dijiye sir please 🙏🙏🙏🙏🙏🙏🙏🌹🌹🌹🌹 sir aap bhut acha padate hai isse acha mujhe youtube par video nahi milta hai sir Ji please 🙏🙏🙏

  • @akhyankhan2382
    @akhyankhan2382 Год назад

    Sir please discuss Geometric meaning of topology in a lecture

  • @blissfulbeautysoul
    @blissfulbeautysoul 2 месяца назад +2

    Thoda slow pace rakkha kariye sir...kayi sari cheezein aap apne me bol jaatey hain...sorry to remind you but it was only a to be honest wala feedback,and thank you for helping as always ❤

  • @abdulqadeer3588
    @abdulqadeer3588 Год назад +1

    c,d right option

  • @Ravi-se8bn
    @Ravi-se8bn 2 года назад +2

    sir measure theory and integration ka lecture upload kijiye

  • @anjaligautam1144
    @anjaligautam1144 2 года назад

    Good morning sir 🙏🙏🙏

  • @sandeepsinghal7987
    @sandeepsinghal7987 2 года назад

    B option is right
    If has union of sets while others have not

  • @shreekhatushyam786
    @shreekhatushyam786 9 месяцев назад +7

    only option d is correct !!

  • @avinashdubey5701
    @avinashdubey5701 2 года назад

    BCD thank u so much sir🙏

  • @Balluji7609
    @Balluji7609 2 года назад

    sir please tensor (mathematics) pe video lecture banaiye 🙏

  • @AnjaliMahawar-x9x
    @AnjaliMahawar-x9x Год назад

    Hello sir ...
    Msc maths ke liye online classes available h kya?(complete course)

  • @muhammadrahman7114
    @muhammadrahman7114 2 года назад

    Sir strongly appericated work watching from Pakistan
    Lecture-1,lecture-2 mention kiya kary...

  • @The_Lallan_Top
    @The_Lallan_Top 2 года назад +1

    Sir Plz Countiblity and Separation axiom ka link share ke dijiye

  • @saikatdas9481
    @saikatdas9481 Год назад

    Correct answer:- b),c),d)

  • @Paki930
    @Paki930 2 года назад +1

    Sir last question answer is (B).

  • @prakharpandey7256
    @prakharpandey7256 2 года назад

    Thanks for 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

  • @SatishMaurya-me6wg
    @SatishMaurya-me6wg 8 месяцев назад +1

    Only D is correct

  • @lalababa3099
    @lalababa3099 2 года назад

    Nice sir ( b) is right

  • @KANCHANKUMARI-eu2ls
    @KANCHANKUMARI-eu2ls 2 года назад

    Sir cocountable aur cofinite topological space example ke sath phir se bataye sir please

  • @deepikaasati5063
    @deepikaasati5063 Год назад

    Option b,c,d are correct 💯💯