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

[@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

[@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

[@Lily-math]

Ham a aur b q ni le ry

[@Teacherdiwakarmishra108]

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

[@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 😂

[@mathswithnikkiyadav]

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

[@maryamtabassum2388]

Sir ap boht great Han .. pori RUclips 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 । 🙏🙏👍👍🌹🌹🇮🇳🇮🇳

[@siddiquiikram5673]

Fantastic sir keep going sir it will helpfull

[@adilasaleem4310]

B, D correct answers
Well explained!
Thank you Sir

[@sornaakter4575]

Thank u so much from Bangladesh..please continue sir

[@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

[@IRONMAN.3059]

Thanku for video
New introduction
Very cool sir ❣️🥰

[@SadamHussain-bn1ru]

B, and D sir
Best teacher love from Pakistan ❤

[@AnnuKumari-ny4le]

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

[@PriyankaKujur-l5z]

Thank you so much sir for your excellent explanation

[@chandansahu6113]

Ans. are B&D thank you so much Sir ❤️

[@rajeshlahare3487]

Thank you so much sir 🙏🙏❤❤.. Ans b,d

[@rafal23455]

احسن شرح ❤

[@aparnarai7578]

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

[@SANOJKUMAR-eh1jj]

Thanks so much sir ji❤❤❤🙏🙏🙏🙏

[@RituRani-op6go]

Sir please daily video upload kijiye consistency bhut jaruri hai

[@manuthakur4621]

Thank you so much sirr..👌

[@Ayesha_01257]

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

[@Ravi-se8bn]

Please keep on this course thank u

[@shivanipanwar00]

Thank you sir it's very helpful

[@SuccessPoint3216]

You are legend Sir

[@kunjdewangan1587]

Thank you sir 🙏... answer are b nd d.

[@jadoonrohail6410]

Great 👌

[@gswapnil20]

Great content, sir👌👌

[@omkar1070]

Thank you sir ❤❤❤

[@ইচ্ছেপূরণ-ব৯খ]

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

[@Teacherdiwakarmishra108]

Thanks for Teach Sir.🙏🙏❣️

[@Stark.......]

Nice video sir ❤️

[@abhi_jeet21flute]

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

[@sumitas8998]

Thank you sir
B&D are correct

[@nazimabbas4290]

Thanks from Pakistan

[@the_kushal_patel]

감사합니다🤗

[@latasewag5543]

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

[@satyabehera9314]

Thank you sir🙏

[@aakashPotter]

Very helpful

[@deepakmathematics9938]

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

[@hibakhan2312]

Sir please upload videos on Measure theory

[@ritamkarmakar665]

Top sir ❤️❤️❤️❤️😘

[@KhushiBHAIYA]

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

[@RiyaRathour-y5q]

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

[@nandinibiswas3436]

Sir plzz uploads more videos on this topic topology

[@sheemanitinsan7235]

Nice 👍😊

[@dronamrajuchanda3262]

ans B,D thank you sir

[@dhruvishapatel8920]

Very nice explained thank you so much sir ☺️😊

[@Hanuman_ji_bhakti-y3y]

Sir Boolean algebra discrete maths kra do plz

[@susheelsaini3430]

Thanks sir ji

[@sumanbachu4784]

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

[@nitishjaiswal9537]

Thanku sir
Ans is B,D

[@all_rounded1]

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

[@rajeshlahare3487]

Sir cartian product of closed set and open set kya hoga

[@azadrohilla]

Sir in the example of nbhd, nbhd of element 1 are wrong

[@shahelimodak]

Option b and option d are correct answer

[@sanvithapa6314]

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

[@Mina-m1z2t]

Sir metric space and fluid dynamics please

[@chandankumargupta8174]

20:40 option Bank & D are TRUE answer

[@ashutoshpandey1311]

Thanks sir

[@LavanyaBalasubramani]

sir please open and close ball bhi cover krva dijiye.

[@deepakkumarvarma464]

Sir next video jaldi upload kariye please.

[@thetargetpoint1m968]

Sir aap jim bhi krte hai kya

[@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 ;)

[@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...

[@nazkhan2789]

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

[@SalmanKhan-cl9jl]

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

[@tayyababatool4149]

Sir right ray topology ka proof b krwaa dyn

[@MuhammadBilal-vy2ni]

Assalam o alaikum sir separation axioms py vedio bna dain please

[@Zpathan-fo8ym]

Thnax sir

[@haseenasrudeen8346]

Thxx

[@SHIVAMKUMAR-fe6kt]

B and D are the right options.

[@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✨

[@newday6035]

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

[@aminakousar8504]

Gorgeous 🥰🥰🥰

[@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.

[@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

[@asheeshkumar8662]

Thnku sir

[@gentleman1342]

Video like kr k jao dudes.❤

[@ravinderdhundhwal9372]

Options(B and D) are correct

[@shahjadaalam162]

Answer=b and d

[@asheeshkumar8662]

Option B& D is the right ans..

[@dedicatedtovillagersmonuse6913]

B and D r correct❤

[@CCEMATHSANDREASONING]

This video is for bsc or msc?

[@anjalidevi7169]

Msc

[@zeshanhaider6296]

sir first lecture k link bta dy

[@Amitmourya24]

Sir class pdf kha se milegi

[@deepshikhakesarwani8602]

Sir b and d i think is it right

[@sharafatashraf1502]

Sir is ma c ksa limit point ho ga

[@omymashiblerima791]

Ans: B, D. Am I right?

[@bedaprakashsahoo8812]

want matric space video sir

[@gurudevrawat8857]

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

[@sejalsahu4119]

B,D (correct)

[@Deepak-j8p]

Thanks sir aur bhejiye hamare pas time nahi h exam agale mahine h

[@piudas3826]

Correct option b,d

[@mohityadav-bw7ob]

B and D option are correct

[@maryamtabassum2388]

Allah bless you

[@debasishsarkar8190]

B,D❤