Topology | Open Set & Closed Set in Topology | Neighborhood, Limit Point in Topology

[@Agraneeh]

Aapke jaisa explanation kahi nehi milta.aapke methods unique aur tricky hain jo accha se samajh me ata hain.thank you sir

[@Teacherdiwakarmishra108]

Sir Good morning 🙏🙏❣️ Sir.ans.B & D will be correct Thanks for teach.❣️

[@maryamtabassum2388]

Sir ap boht great Han .. pori KZbin Dekh ly bnda lakin mentally satisfaction apki bat sun k e hoti ha . ❤❤❤❤❤ JB SE apko Sunna shuru Kia ha Kisi or ko sunny ko Dil n Chahta.. love from Pakistan ❤❤❤❤❤

[@Thefullfill]

Pakistani 🙄🙄

[@umakantyadavu.k.y470]

सर आपके चरणों मेरा प्रणाम सर आपके सारे लेक्चर बहुत बढ़िया सभी concept अच्छे से समझ पा रहा हूँ । सर आप हम लोगों के लिए इतनी मेहनत करते हैं कभी- कभी लगता है कि हम आपके परिश्रम को सार्थक बना पायेगे या नहीं । 🙏🙏👍👍🌹🌹🇮🇳🇮🇳

[@mathswithnikkiyadav]

B, d are the correct answer... Thank you so much sirji.... 🙏🙏🙏

[@anjaligautam1144]

{ b,c} and {c} Option B and D is correct answer Thank you so much sir very helpful video 👌👌🙏🙏🔥🤗

[@p_r_i_y_a_n_k_ajena4500]

Why d option is close

[@HeWhoKnows-]

@@p_r_i_y_a_n_k_ajena4500 {c} complement is {a, b} and {a, b} belongs to T. And we know every element of T is open. Implying {c} is closed

[@dibyalochanthayal8083]

Complement of {a,b}​ is=x-{a,b}=c So, closed set is c.@@p_r_i_y_a_n_k_ajena4500

[@AlishbaG-t4v]

Ham a aur b q ni le ry

[@swapanakotoju5522]

Thank you sir. Ans: B, D

[@priyankasharma-ec1is]

i think right answer is d

[@HeWhoKnows-]

@@priyankasharma-ec1is optionB is also closed since complement of {b, c} is {a} which in in the T and we know that every element of T is open Therefore by definition of close set {b, c} is closed

[@HeWhoKnows-]

Can you explain why option C .....{b} is not closed?

[@mr.a_k1955]

​@@HeWhoKnows-because compliment of {b} is {a,c} which is not in T hence {a,c} is not open That's why {b} is not closed

[@huligemmanayak4883]

​@@HeWhoKnows-option D is also applicable in same pattern

[@adilasaleem4310]

B, D correct answers Well explained! Thank you Sir

[@prantomollah4899]

you really teach very well but if you speak little slow, then it will be very good for us to understand properly what you are telling, please take love from Bangladesh ❤️❤️🙏

[@hrishikeshgautam5]

Me studing in 1.75x speed 😅

[@rajatgarg135]

@@hrishikeshgautam5 me too 😂

[@asheeshkumar8662]

Daily aapke es topics pr vdo ka wait Krta hu

[@studypowerful844]

@@asheeshkumar8662 I love you sir

[@highermathematics-bx4mi]

Assalam o Alaikum jazaki Allah khyran dear respected sir May Allah bless you Ameen

[@sornaakter4575]

Thank u so much from Bangladesh..please continue sir

[@siddiquiikram5673]

Fantastic sir keep going sir it will helpfull

[@SadamHussain-bn1ru]

B, and D sir Best teacher love from Pakistan ❤

[@rajeshlahare3487]

Thank you so much sir 🙏🙏❤❤.. Ans b,d

[@IRONMAN.3059]

Thanku for video New introduction Very cool sir ❣️🥰

[@chandansahu6113]

Ans. are B&D thank you so much Sir ❤️

[@aparnarai7578]

B n D r correct answer, Thanks sir 🙏🙏🙏

[@AnnuKumari-ny4le]

Thanku so much sir for wonderful session and answer is b,d option

[@RituRani-op6go]

Sir please daily video upload kijiye consistency bhut jaruri hai

[@abhi_jeet21flute]

Thanku so much sir...❤❤Itna accha padhaane ke liye❤❤

[@SANOJKUMAR-eh1jj]

Thanks so much sir ji❤❤❤🙏🙏🙏🙏

[@Yeong-f8g]

감사합니다🤗

[@Ayesha_01257]

Very Well Explained, Sir...Thanks a lot ❤️

[@Teacherdiwakarmishra108]

Thanks for Teach Sir.🙏🙏❣️

[@PriyankaKujur-l5z]

Thank you so much sir for your excellent explanation

[@omkar1070]

Thank you sir ❤❤❤

[@ইচ্ছেপূরণ-ব৯খ]

Thank you so much sir 🙏 ,last question ka ans - options B and D hoga

[@gswapnil20]

Great content, sir👌👌

[@Ravi-se8bn]

Please keep on this course thank u

[@rafal23455]

احسن شرح ❤

[@kunjdewangan1587]

Thank you sir 🙏... answer are b nd d.

[@ritamkarmakar665]

Top sir ❤️❤️❤️❤️😘

[@manuthakur4621]

Thank you so much sirr..👌

[@SuccessPoint3216]

You are legend Sir

[@jadoonrohail6410]

Great 👌

[@Stark.......]

Nice video sir ❤️

[@latasewag5543]

Ans B nd D ..thanku sir for a quick revision very helpful

[@RiyaRathour-y5q]

B and D is closed because {a}'={b,c} and { a,b}'={c}

[@shivanipanwar00]

Thank you sir it's very helpful

[@sumitas8998]

Thank you sir B&D are correct

[@nazimabbas4290]

Thanks from Pakistan

[@deepakmathematics9938]

Hello Sir ap bhut Achhe pdaye ho Dual simplex method ka Video sir ap bnaiye n please sir

[@sumanbachu4784]

Excellent explanation all over the India sir🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@satyabehera9314]

Thank you sir🙏

[@dhruvishapatel8920]

Very nice explained thank you so much sir ☺️😊

[@sheemanitinsan7235]

Nice 👍😊

[@nitishjaiswal9537]

Thanku sir Ans is B,D

[@aakashPotter]

Very helpful

[@dronamrajuchanda3262]

ans B,D thank you sir

[@KhushiBHAIYA]

A complement is b,c and a,b compliment is c so correct options are B and D.

[@nandinibiswas3436]

Sir plzz uploads more videos on this topic topology

[@vinithabongarala5990]

8:37 sir can't we take 'phi' in the subsets of 1 and as it's neighbourhood?

[@HeWhoKnows-]

You mad? Silly question Phi is empty set how can it be a subset of 1.

[@gentleman1342]

Video like kr k jao dudes.❤

[@shahelimodak]

Option b and option d are correct answer

[@hibakhan2312]

Sir please upload videos on Measure theory

[@chandankumargupta8174]

20:40 option Bank & D are TRUE answer

[@sanvithapa6314]

Option (B)... {b;c} ... Because .. it contain all limit point... Then it is close set

[@aminakousar8504]

Gorgeous 🥰🥰🥰

[@SalmanKhan-cl9jl]

Sir topology k oper jetna ziada possible hu videos banawu. 👍

[@Hanuman_ji_bhakti-y3y]

Sir Boolean algebra discrete maths kra do plz

[@susheelsaini3430]

Thanks sir ji

[@all_rounded1]

Sir Is set of natural no. Open or closed in topology

[@newday6035]

Aap to gajab ho😊kya aap mere dost banoge i am bsc 1 year student

[@MuhammadBilal-vy2ni]

Assalam o alaikum sir separation axioms py vedio bna dain please

[@dedicatedtovillagersmonuse6913]

B and D r correct❤

[@khushigoyal8700]

2. Which one of the following is true! (a) null set is an open set (c) null set is a closed set (b) null set is semi open set (d) none of these.?

[@xanny8932]

(a)

[@shivamvishwakarma7314]

a

[@HeWhoKnows-]

Null set is both open and closed . So it's a semiopen set /"clopen" set is the right word

[@HeWhoKnows-]

By definition of a topology T, we know all element of T is open,therefore "∅" Is OPEN. X also belong to T and therefore X is open. Now, 1. Complement of ∅ is X (here both X and ∅ is open which is a contradiction to the definition of open and closed sets since complement of an Open set should be CLOSED) . 2. Complement of X is ∅ (same reason as 1) Therefore ∅ is both open and closed. CLOPEN SET!! hope this helps ;)

[@thetargetpoint1m968]

Sir aap jim bhi krte hai kya

[@deepakkumarvarma464]

Sir next video jaldi upload kariye please.

[@shahjadaalam162]

Answer=b and d

[@ashutoshpandey1311]

Thanks sir

[@anjalitc3]

Sir, while explaining limit point, when you took the neighbourhood of a, why didn't you take {a,b}, {a,c} , {a,d} and others according to previous definition of neighborhood?

[@sayanjitb]

Because the definition mentions that this should be an "Open NBD" of point a. And for a subset to be open, it must be a neighborhood of each element. you can easily check that (a,d), (a,c) do not satisfy this criterion.

[@nandinibiswas3436]

We have to take only the open neighbourhoods So...

[@ANKIT-l4f6p]

SIR HMARA RAJASTHAN UNIVERSITY KE COMPLEX ANALYSIS AUR ALGEBRA KA EXAM H 23 KO YE TOPIC USI M, SO THANKS BUT SIR STEREOGRAPHIC PROJECTION VALA IMP H USKI VIDEO BHI DAAL DO✨

[@LavanyaBalasubramani]

sir please open and close ball bhi cover krva dijiye.

[@Zpathan-fo8ym]

Thnax sir

[@ravinderdhundhwal9372]

Options(B and D) are correct

[@rajeshlahare3487]

Sir cartian product of closed set and open set kya hoga

[@Nkfunny098]

Options B and D both

[@Mina-m1z2t]

Sir metric space and fluid dynamics please

[@haseenasrudeen8346]

Thxx

[@asheeshkumar8662]

Option B& D is the right ans..

[@omymashiblerima791]

Ans: B, D. Am I right?

[@sejalsahu4119]

B,D (correct)

[@asheeshkumar8662]

Thnku sir

[@Amitmourya24]

Sir class pdf kha se milegi

[@tayyababatool4149]

Sir right ray topology ka proof b krwaa dyn

[@jogendrapratap_jp]

Answer: {b, C}, {c}

[@ranjeetkumarlahre1885]

Ans. (B) {b,c} & (D) {c}

[@debasishsarkar8190]

B,D❤

[@nazkhan2789]

Ans... B,c,d are correct

[@RoniBadgujjar]

last question answer is B,C,D because in these sets every point is a limit point

[@RoniBadgujjar]

Sir please correct me if i am wrong

[@dibyalochanthayal8083]

Closed set are {b,c},{c}

[@gurudevrawat8857]

Sir topology me aapki playlist per only 13 lacture available hai,

[@nazkhan2789]

Can you please let us understand nbhd open set etc for infinite set

[@mohityadav-bw7ob]

B and D option are correct

[@vivekrajput0078]

(B) and (D)

[@sharafatashraf1502]

Sir is ma c ksa limit point ho ga

[@maryamtabassum2388]

Allah bless you

[@piudas3826]

Correct option b,d

[@zeshanhaider6296]

sir first lecture k link bta dy