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

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  • Опубліковано 20 гру 2024

КОМЕНТАРІ • 353

  • @infinityp3455
    @infinityp3455 2 роки тому +29

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

  • @zaibkakar9139
    @zaibkakar9139 2 роки тому +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 Рік тому +3

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

  • @highermathematics-bx4mi
    @highermathematics-bx4mi 2 роки тому +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 7 годин тому

      @@highermathematics-bx4mi asalamualykum ameen summa ameen

  • @anjaligautam1144
    @anjaligautam1144 2 роки тому +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 роки тому

      plzz option d explain

    • @sarthaksahoo8423
      @sarthaksahoo8423 2 роки тому +1

      Why c option

    • @zakishaidar
      @zakishaidar 2 роки тому +1

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

    • @pranilthakare7585
      @pranilthakare7585 2 роки тому

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

    • @AdityaUnfiltered0501
      @AdityaUnfiltered0501 2 роки тому +5

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

  • @paominlienguite2397
    @paominlienguite2397 2 роки тому

    Thanks

  • @aksamqasim805
    @aksamqasim805 2 роки тому +4

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

  • @Vivek021e
    @Vivek021e 2 роки тому +22

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

  • @gulhasnain-u2y
    @gulhasnain-u2y 11 місяців тому

    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...

  • @sarojverma9331
    @sarojverma9331 2 роки тому +29

    OPTION B,C, D IS TOPOLOGY

  • @siddiquiikram5673
    @siddiquiikram5673 2 роки тому +4

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

  • @archanasapi3829
    @archanasapi3829 Рік тому +8

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

  • @sumitas8998
    @sumitas8998 2 роки тому +9

    Thank you sir🙏
    B&D are answers.

    • @priyeshverma9353
      @priyeshverma9353 11 місяців тому +2

      C also

    • @mathematicssummary774
      @mathematicssummary774 2 місяці тому +1

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

    • @KhushiBHAIYA
      @KhushiBHAIYA Місяць тому

      ​@@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

  • @blissfulbeautysoul
    @blissfulbeautysoul 2 місяці тому +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 ❤

  • @KrishnaKumar-uj9wf
    @KrishnaKumar-uj9wf 2 роки тому +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

  • @ushasahu7208
    @ushasahu7208 2 роки тому

    Wow sir ji amaging sir ji bohot hi achha samjhaye🙏

  • @chandrajasengupta9494
    @chandrajasengupta9494 2 роки тому +5

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

  • @aparnarai7578
    @aparnarai7578 2 роки тому

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

  • @ishachoudharybnl
    @ishachoudharybnl 2 роки тому +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🙇‍♀️🙇‍♀️🙇‍♀️🙇‍♀️

  • @nikitasharma7879
    @nikitasharma7879 2 роки тому +7

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

    • @haiderabbasshah7674
      @haiderabbasshah7674 2 роки тому +1

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

    • @nikitasharma7879
      @nikitasharma7879 2 роки тому

      @@haiderabbasshah7674 👍

    • @mr.bb6962
      @mr.bb6962 2 роки тому

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

    • @nikitasharma7879
      @nikitasharma7879 2 роки тому

      @@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 Рік тому

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

  • @mulatemagne3064
    @mulatemagne3064 2 роки тому +1

    thanks to sir what i take this course clearly.

  • @shreyashidas2618
    @shreyashidas2618 2 роки тому +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🙏

  • @shreyaroy4794
    @shreyaroy4794 2 роки тому

    Bht help kiya apne Sir 🥺💕💕💕💕

  • @tehseenlatif6600
    @tehseenlatif6600 10 місяців тому

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

  • @swapanakotoju5522
    @swapanakotoju5522 2 роки тому +1

    Thank you sir🙏. Ans: B,C, D

  • @prachigupta7610
    @prachigupta7610 2 роки тому +4

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

  • @nitishjaiswal9537
    @nitishjaiswal9537 Рік тому +2

    Thanku sir 😊
    Ans . B, C

  • @nazkhan2789
    @nazkhan2789 2 роки тому

    I have to say you are best teacher

  • @allrounders1296
    @allrounders1296 Рік тому +1

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

  • @Ravi-se8bn
    @Ravi-se8bn 2 роки тому +1

    Please keep on complete course after 20 days topology exam

  • @subhanali1327
    @subhanali1327 2 роки тому +2

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

  • @mathshub798
    @mathshub798 Рік тому

    Bhut bhut badiya class h sir thank you

  • @readystudygo4174
    @readystudygo4174 Рік тому

    Happy Teacher's Day sir🙏🙏🙏

  • @shivanyakapoor1074
    @shivanyakapoor1074 2 роки тому +4

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

  • @motivationallife30k
    @motivationallife30k 2 роки тому

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

  • @filliz9208
    @filliz9208 2 роки тому +2

    Thank you... thank you so much 💖

  • @sachinboarde8749
    @sachinboarde8749 2 роки тому +2

    sir pls keep video on mathematical modelling
    and imp question

  • @prabhatmishraprayagrajwale2118
    @prabhatmishraprayagrajwale2118 2 роки тому +3

    Congratulations sir for 1 Million 🎊🙏

  • @SWADHINNAYAK-z2r
    @SWADHINNAYAK-z2r Рік тому +1

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

  • @banashreekuila3385
    @banashreekuila3385 2 роки тому +2

    Thanks sir please continue this series 🙏🙏

  • @krishmehra3267
    @krishmehra3267 6 місяців тому +1

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

  • @moonlightlatte872
    @moonlightlatte872 2 роки тому +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.....👍🙏

  • @nazkhan2789
    @nazkhan2789 2 роки тому +2

    Asslam o Alaikum option c and d both are correct

  • @manigamer540
    @manigamer540 2 роки тому +1

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

    • @sabrawahid2755
      @sabrawahid2755 Рік тому

      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

  • @Foodiesonly143
    @Foodiesonly143 Рік тому

    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???

  • @wajihaakbar1401
    @wajihaakbar1401 Рік тому

    Great work sir!! respect from Pakistan

  • @sampurnanandsingh4564
    @sampurnanandsingh4564 2 роки тому +1

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

  • @ghulamghous672
    @ghulamghous672 2 роки тому +1

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

  • @ashishsharma9119
    @ashishsharma9119 2 роки тому

    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.

  • @bhawanisingh2756
    @bhawanisingh2756 2 роки тому +1

    Thank you sr for this topology series..

  • @somduttamitra8588
    @somduttamitra8588 2 роки тому +1

    Thank you sir for this topic.

  • @anushakagarg3012
    @anushakagarg3012 2 роки тому +5

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

  • @32-rishavsharma39
    @32-rishavsharma39 Рік тому

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

  • @ROSHANKUMARJAYSWAL
    @ROSHANKUMARJAYSWAL 2 роки тому +1

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

  • @alishanarula5806
    @alishanarula5806 2 роки тому

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

    • @meneha191
      @meneha191 2 роки тому

      plzz tell me option d kaise hua

  • @Whatsfortoday49
    @Whatsfortoday49 2 роки тому

    Thank you sir. I am waiting for topology

  • @rajkumar9144
    @rajkumar9144 2 місяці тому

    Sir can you refer some books for topology for basics?

  • @Bhawna_12352.
    @Bhawna_12352. 2 роки тому

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

  • @karan_xt
    @karan_xt 5 місяців тому

    Which lecture is about countability and axioms of separability ?

  • @melodiousprabahini
    @melodiousprabahini 2 роки тому

    Thank you so much🥰🥰 sir🙏🙏

  • @ppatrawani2003
    @ppatrawani2003 6 місяців тому +2

    Only D is correct 💯

  • @paominlienguite2397
    @paominlienguite2397 2 роки тому

    Sir, thank you sooooookuch 😭😭😭😭

  • @dhimandas1183
    @dhimandas1183 2 роки тому +1

    Very good lecture sir ☺️🤗

  • @ChandanKumar-cf5pm
    @ChandanKumar-cf5pm 2 роки тому +1

    Sir Statics par v video upload kijiye pls

  • @deepeshtiwari7311
    @deepeshtiwari7311 2 роки тому

    धांसू 🙏🏻

  • @mashabear8881
    @mashabear8881 6 місяців тому

    Sir plz discuss induce topology..

  • @AnushreeRajbhar3394
    @AnushreeRajbhar3394 2 роки тому

    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 🙏🙏🙏

  • @AnjaliMahawar-x9x
    @AnjaliMahawar-x9x Рік тому

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

  • @muhammadrahman7114
    @muhammadrahman7114 2 роки тому

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

  • @mhakalbhakt1234
    @mhakalbhakt1234 Рік тому +1

    Ye MSC ka syllabus hai kya sir 🙏

  • @mdmishkat4554
    @mdmishkat4554 2 роки тому +1

    Sir, where can I find your class notes?

  • @bedantakumarnath9947
    @bedantakumarnath9947 2 роки тому +1

    Sir after this pls cover rigid dynamics

  • @Paki930
    @Paki930 2 роки тому +1

    Sir last question answer is (B).

  • @pushpasahu5413
    @pushpasahu5413 Рік тому +2

    Answer=b,c,d

  • @The_Lallan_Top
    @The_Lallan_Top 2 роки тому +1

    Sir Plz Countiblity and Separation axiom ka link share ke dijiye

  • @dronamrajuchanda3262
    @dronamrajuchanda3262 2 роки тому

    ans B,C,D thank you sir

  • @IExotic_Boys
    @IExotic_Boys 2 роки тому

    Sir "Statics and dynamics" padha dijiye please

  • @souvikgiri4616
    @souvikgiri4616 2 роки тому +4

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

  • @Ravi-se8bn
    @Ravi-se8bn 2 роки тому +2

    sir measure theory and integration ka lecture upload kijiye

  • @KANCHANKUMARI-eu2ls
    @KANCHANKUMARI-eu2ls 2 роки тому

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

  • @aniqahashfaq2560
    @aniqahashfaq2560 2 місяці тому

    topology k lye koi book b recommend kar dn please

  • @akhyankhan2382
    @akhyankhan2382 Рік тому

    Sir please discuss Geometric meaning of topology in a lecture

  • @rsingha7321
    @rsingha7321 Рік тому

    You are great. Sir

  • @kunjdewangan1587
    @kunjdewangan1587 2 роки тому

    Thank you Sir... answer are BCD

  • @sandeepsinghal7987
    @sandeepsinghal7987 Рік тому

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

  • @krishnamusicalworld7842
    @krishnamusicalworld7842 2 роки тому

    Sir, Functional Analysis
    Operation Reaserch ll
    Par videos banaeye

  • @omymashiblerima791
    @omymashiblerima791 Рік тому +1

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

    • @HeWhoKnows-
      @HeWhoKnows- Рік тому

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

  • @tiwarijikijay
    @tiwarijikijay 2 роки тому

    sir mai msc kr rha hu lekin mere state pcs k exam hai to kya mai 1st sem aur 2nd sem dono k aper ek sath de sakta hu ? agr ha to kaise please help me.

  • @sarthakgupta1087
    @sarthakgupta1087 6 місяців тому

    Is this topic related to Metric Space ??

  • @deepikaasati5063
    @deepikaasati5063 Рік тому

    Option b,c,d are correct 💯💯

  • @zeroualiouns373
    @zeroualiouns373 Рік тому

    How happy would i be if there was English subtitles available 😭

  • @SANJEEVKUMAR-wj4sf
    @SANJEEVKUMAR-wj4sf 2 роки тому

    Thank sir for helping

  • @mahreennaseer1561
    @mahreennaseer1561 7 місяців тому

    Great 👍

  • @letsreadhappily3887
    @letsreadhappily3887 2 роки тому

    I was waiting for this topic

    • @rdx_Chandra
      @rdx_Chandra 2 роки тому

      Explain kar de to yrr kaise huwa

  • @ieltscuecard467
    @ieltscuecard467 2 роки тому +1

    Is this also valid for MSc math??

  • @alodas497
    @alodas497 2 роки тому

    Thank you sir 😊

  • @iqrasadiq1649
    @iqrasadiq1649 2 роки тому

    Number theory k lect h sir ap k??

  • @sukanyayadav7874
    @sukanyayadav7874 2 роки тому

    Sir cucet entrance msc maths k liye kab karvavoga

  • @geniusinmaths7762
    @geniusinmaths7762 2 роки тому

    an amazig teacher....

  • @avinashdubey5701
    @avinashdubey5701 2 роки тому

    BCD thank u so much sir🙏