Sir ap boht great Han .. pori TH-cam 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 ❤❤❤❤❤
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 । 🙏🙏👍👍🌹🌹🇮🇳🇮🇳
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 ❤️❤️🙏
@@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
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✨
T1 not contain {a,b} so it's not T2 is topology because it's contain {a,b} T3 is not contain {a,b,c} so it's not T4 is topology. So T2 and T4 is topology
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?
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.
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 ;)
Aapke jaisa explanation kahi nehi milta.aapke methods unique aur tricky hain jo accha se samajh me ata hain.thank you sir
Sir ap boht great Han .. pori TH-cam 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 ❤❤❤❤❤
Pakistani 🙄🙄
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 । 🙏🙏👍👍🌹🌹🇮🇳🇮🇳
{ b,c} and {c}
Option B and D is correct answer
Thank you so much sir very helpful video 👌👌🙏🙏🔥🤗
Why d option is close
@@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
Complement of {a,b} is=x-{a,b}=c
So, closed set is c.@@p_r_i_y_a_n_k_ajena4500
Ham a aur b q ni le ry
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 ❤️❤️🙏
Me studing in 1.75x speed 😅
@@hrishikeshgautam5 me too 😂
Thank you sir. Ans: B, D
i think right answer is d
@@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
Can you explain why option C .....{b} is not closed?
@@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
@@HeWhoKnows-option D is also applicable in same pattern
Sir Good morning 🙏🙏❣️
Sir.ans.B & D will be correct
Thanks for teach.❣️
Daily aapke es topics pr vdo ka wait Krta hu
@@asheeshkumar8662 I love you sir
Fantastic sir keep going sir it will helpfull
Assalam o Alaikum jazaki Allah khyran dear respected sir
May Allah bless you Ameen
B, d are the correct answer... Thank you so much sirji.... 🙏🙏🙏
Thank u so much from Bangladesh..please continue sir
B, D correct answers
Well explained!
Thank you Sir
Sir please daily video upload kijiye consistency bhut jaruri hai
Thank you so much sir for your excellent explanation
Thanku for video
New introduction
Very cool sir ❣️🥰
B, and D sir
Best teacher love from Pakistan ❤
Great 👌
감사합니다🤗
Thanks so much sir ji❤❤❤🙏🙏🙏🙏
Thank you so much sirr..👌
Thanku so much sir for wonderful session and answer is b,d option
Please keep on this course thank u
Video like kr k jao dudes.❤
Thank you so much sir 🙏🙏❤❤.. Ans b,d
Thank you sir ❤❤❤
Hello Sir ap bhut Achhe pdaye ho
Dual simplex method ka Video sir ap bnaiye n please sir
احسن شرح ❤
Thank you sir it's very helpful
Thanku so much sir...❤❤Itna accha padhaane ke liye❤❤
Sir plzz uploads more videos on this topic topology
Nice video sir ❤️
Thank you so much sir 🙏 ,last question ka ans - options B and D hoga
A complement is b,c and a,b compliment is c so correct options are B and D.
You are legend Sir
Thank you sir
B&D are correct
Thanks for Teach Sir.🙏🙏❣️
Ans. are B&D thank you so much Sir ❤️
Thank you sir 🙏... answer are b nd d.
B n D r correct answer, Thanks sir 🙏🙏🙏
Sir next video jaldi upload kariye please.
Very helpful
Great content, sir👌👌
Very Well Explained, Sir...Thanks a lot ❤️
Thank you sir🙏
sir please open and close ball bhi cover krva dijiye.
Thanks from Pakistan
Sir please upload videos on Measure theory
Assalam o alaikum sir separation axioms py vedio bna dain please
Top sir ❤️❤️❤️❤️😘
Nice 👍😊
Sir Boolean algebra discrete maths kra do plz
B and D are the right options.
B and D is closed because {a}'={b,c} and { a,b}'={c}
Sir topology k oper jetna ziada possible hu videos banawu. 👍
Option (B)... {b;c} ... Because .. it contain all limit point... Then it is close set
Option b and option d are correct answer
ans B,D thank you sir
Sir metric space and fluid dynamics please
Very nice explained thank you so much sir ☺️😊
20:40 option Bank & D are TRUE answer
last question answer is B,C,D because in these sets every point is a limit point
Sir please correct me if i am wrong
Ans B nd D ..thanku sir for a quick revision very helpful
Thanku sir
Ans is B,D
Thanks sir ji
Excellent explanation all over the India sir🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
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✨
Options(B and D) are correct
T1 not contain {a,b} so it's not
T2 is topology because it's contain {a,b}
T3 is not contain {a,b,c} so it's not
T4 is topology.
So T2 and T4 is topology
Sir right ray topology ka proof b krwaa dyn
Thanks sir aur bhejiye hamare pas time nahi h exam agale mahine h
Aap to gajab ho😊kya aap mere dost banoge i am bsc 1 year student
Sir aap jim bhi krte hai kya
Thanks sir
Sir Is set of natural no. Open or closed in topology
Can you please let us understand nbhd open set etc for infinite set
Option B& D is the right ans..
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?
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.
We have to take only the open neighbourhoods
So...
8:37 sir can't we take 'phi' in the subsets of 1 and as it's neighbourhood?
You mad? Silly question
Phi is empty set how can it be a subset of 1.
Sir cartian product of closed set and open set kya hoga
Gorgeous 🥰🥰🥰
B and D option are correct
Thnax sir
Thxx
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.?
(a)
a
Null set is both open and closed . So it's a semiopen set /"clopen" set is the right word
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 ;)
Thnku sir
Sir in the example of nbhd, nbhd of element 1 are wrong
want matric space video sir
B and D r correct❤
Correct option b,d
B and D are closed sets😊
B,D (correct)
B,D❤
Ans... B,c,d are correct
Ans. (B) {b,c} & (D) {c}
Sir topology me aapki playlist per only 13 lacture available hai,
Answer=b and d
🙏🙏🙏🙏🙏
Mechanics complete kara diye msc ki
B AND D options are correct