Sir you are a great teacher, I saw many presentations on youtube but my concept got cleared from your presentation. Allah keep you happy. Most kind regards. Please keep making videos. Thanks
For the ppls who r finding it confusing In this ex given by the tutor 1 is not a limit point of A bcause the open set {1} is a nhd of 1 which contains no more point of A other than 1 which the tutor already said that if {1} was not there then 1 can be limit pt. of A but later confused some And its not necessary that the limit point must have not to be in A (or the set given) so yea u were wrong there
There is confusion. I think it must be for all.1 is not limit point in single ton case but is limit point in {1,2}.But since the definition says "for all" so That implies 1 is not the limit point.
@@beautyofneelumvalleyajk8106 more over there is no condition for a limit point to be outside the set ... for example set limit points of open interval is closed interval which contain all the points of open interval moreover closed set ki definition : a set that contains all of its limit points is called closed interval it means limit point can belong to the set
Sir how can 1 be a limit point?? All Open set containing 1 should also contain at least one element of A other than 1 but in this case {1} present so 1 can't be a limit point
If 5 is limit point accourding to you then why 6 is not? Every point of A is present in X because A is subset of X then every point will be limit point??
It is indeed a good effort, but please upload it again as some concepts like a set cant contain its limit point and first example is not a topology, as {1}U{3,4}={1,3,4} is not in Tau.
Deky agr hum malom krna chahty hai k 1 limit point hai k nii tu se aap ne 1 ko niklna hoga agr 1 ko nikle tu 2 baqi rah jata hai jao def ko satified krta hai s waja se 1 limit point ha
salam... i want some help.. sir ny kaha limit point us set A mein jo elements hy wo nae ho gy... 1 5 6 py check kary gy k wo limit points hy k nahi... but in my class and i wtched other videos which is altogether different... plzz someone explain me k kiya galti kar rahi hon mein... plzzzz
yar ap identify karo k kahaan per kia wrong hai ....or correct kia hai.....just ye keh dena k ye wrong hai darusat baat to nahi hai na.....ap identify karo k kia wrong hai or ye bhi k correct kia hai....Thanks
i don't think it is right : definition of open set: point "p" is limit point of set "A" if every open set containing "p" must contain an element of "A'' other than p then p is limit point. Here {1} is open set and it is not satisfying the condition. So, 1 is not limit point. Reference: Schaum series
muj ko jab bhi koi topic milta hai chahay wo topology ko ho ya science ka ya islam ka main us topic per video bna deta hoon.....her video main pechaly lecture ka naam lena mera muj ko nahi lagta k itna zarori hai...q k main topic wise videos banata hoon.....jab bhi koi topic mil jaey us per video bana deta hoon,,,,,,thanks
Bro~ Read the topic "Accumulation Points" in schaum outline of theory and problems of General Topology. Hope, it will be helpful for you to find the error in your lecture..
You are wrong. Limit point of a set A can also belong to A. Let A= {a,b,c}, X={a,b,c,d} T={ {}, X {a},{a,b}, {a,b,c}} Clearly a is a limit point of A, since {{a,b}/{a}}^{a,b,c}=b Thus a is a limit point of A, which is also belongs to A.
sir jeb ap ne topology change ki hai to ,ap swal galat ker liya hai {2}U{4,5}={2,4,5} which is not in T,,,,,,IT MEANS YE TOPOLOGY HI NHI HAI.......CHECK IT
AP real analysis or topology to mix up kr rhay hain real line pr ya number sets pr khas kr real set pr jb koi function define kia jata ha limit find krnay k liay then os k liay yeh condition ha k apki limit unique ho , L.H.L=R.H.L but topology k liay sirf points ni balky pora set jis pr topology define ki ha ya phir jo limit point ki defination ko satisfy krty hain wo limit point main atay hain . example apko dy dyti but type krna mushkl ha is liay im sorry for that.
Are you sure which topology you written on board is satisfying all three conditions of Topology???? Check it again sir Because {1}U{3,4}={1,3,4} & {2}U{3,4}={2,3,4} is not contained in your written topology So this is not a Topology because its not complete the Union condition of Topology
Ok I understand ur effort and appreciate it but since you have explained it wrong u should delete this video and present a new lecture on this topic with good understanding.
Sir you are a great teacher, I saw many presentations on youtube but my concept got cleared from your presentation. Allah keep you happy. Most kind regards. Please keep making videos. Thanks
For the ppls who r finding it confusing
In this ex given by the tutor 1 is not a limit point of A bcause the open set {1} is a nhd of 1 which contains no more point of A other than 1 which the tutor already said that if {1} was not there then 1 can be limit pt. of A but later confused some
And its not necessary that the limit point must have not to be in A (or the set given) so yea u were wrong there
Sir your method of teaching is very amazing
Bhot ache se samjh aa gya h mujhe.. Good sir and thank you
Any English version of this video?
You are good teacher
Your teaching method is So good
Sir
mai ny apki jitni b vedios dkhi mjy bht hi benifit hwa Allah bless u
Thank you sir your method of teaching is so good 👍
v.v. good yar you are 2nd man how impressed me ..well done
Thanks
Sir mashallah AP bht acha explain krte hain Allah Pak apko mazeed taraqi dein ameen
Every possible nbhd of 'a' must contain some element of set A other than 'a'. ' a' may or may not belong to the set.
Yes ,, ur definition is correct
Thnkxxx srr
yes you r right sir... a may or may not be in the set
Set A ky elemnt q nh limt point bun skty ....
Method of teaching is awesome
You are very best teacher . God bless you .
Thanks
This is not a topology on X. Because, union of two open sets {1} and {2, 3} is not available in T.
Union of {2} and {3,4} is not in the set Tau.Is this still the topological space.
MashaAllah buhat khoob
Very good sir,keeping on working,thanks for helping.
Sir, you are saying that if A={2,3,4} then 2,3 and 4 can not be limit point. Is it generally True?? I think it is not generally true.
There is confusion.
I think it must be for all.1 is not limit point in single ton case but is limit point in {1,2}.But since the definition says "for all" so That implies 1 is not the limit point.
Yes your right ...sir ne wrong concept die hen ...idr 1 be limit point ni ha because this condition is not true for all open sets containing 1.
@@beautyofneelumvalleyajk8106 more over there is no condition for a limit point to be outside the set ... for example set limit points of open interval is closed interval which contain all the points of open interval moreover closed set ki definition : a set that contains all of its limit points is called closed interval it means limit point can belong to the set
A set kyy elemnt bhii limt point bun skty heennn
Sir 1 is not open set because it's not satisfied the diffinition
Sir how can 1 be a limit point??
All Open set containing 1 should also contain at least one element of A other than 1 but in this case {1} present so 1 can't be a limit point
u deliver ur concept very well .. just u have to give proper definition of limit point
thanks
What is the proper difniation of limit point?
I have a Question please
How's X not open set around 5?
کیا پوائنٹ سیٹ A سے باہر ہی کیوں ہونا چاہیے؟
How can we say that limit point can never be the point of A?
5 is present in set X and intersection of X with A is non empty its also limit point .
Yes ..
I agreed
Am also thinking the same thing..
It's creating confusion ☹️
Ye bahut bar kucch v bol dete hai
Be careful guys
Yr ye kia he, wrong,
If 5 is limit point accourding to you then why 6 is not? Every point of A is present in X because A is subset of X then every point will be limit point??
Very useful....
Well explained sir.
It is indeed a good effort, but please upload it again as some concepts like a set cant contain its limit point and first example is not a topology, as {1}U{3,4}={1,3,4} is not in Tau.
ok yes but except first example ........limit point concept you understand?
inshaallah i will try to present whole lecture again on this topic
@@DawarAhmad22 yes as you said limit point is not in the set but what about a closed set as it contain all of its limit points.
thnkuu so much sir bhut achha explain kiya aapne thnx again
sir definition says for all open sets to satisfy the condition, here open set {1,2} is not satisfying so 1 i s not a limit point. thank you.
Deky agr hum malom krna chahty hai k 1 limit point hai k nii tu se aap ne 1 ko niklna hoga agr 1 ko nikle tu 2 baqi rah jata hai jao def ko satified krta hai s waja se 1 limit point ha
Yes 1 is not limit point because {2,3,4} intersection {1}/{1}=phi
yes u are right 1 is not limit point..
Aslam o alikum sir..
Sir topology me 2 r (3 4) ka union ni hai to kia ye phir b topology hai?
NHI HAI.....MISTAKE HOVI HAI YAHAN
@@paashaatv663 ok sir...
By the way Huge thanks to ur vedios its was very helpful to me in 3rd semester
Ap kon si uni me ho
salam... i want some help.. sir ny kaha limit point us set A mein jo elements hy wo nae ho gy... 1 5 6 py check kary gy k wo limit points hy k nahi... but in my class and i wtched other videos which is altogether different... plzz someone explain me k kiya galti kar rahi hon mein... plzzzz
Thanks so much sir g for this kindnesses .
sir i think jo topolgy ap ny define ki ha wo wrong ha????
yar ap identify karo k kahaan per kia wrong hai ....or correct kia hai.....just ye keh dena k ye wrong hai darusat baat to nahi hai na.....ap identify karo k kia wrong hai or ye bhi k correct kia hai....Thanks
sir (2) or (3,4) ki union topology ma ni ha....?
Very good teaching brother
Thanks
Assalam o ailikum
Sir I have question to you
Plz tell me how we prove limit point of phi =phi
Aapne jab {4,5} liya , then T will not be a topology. Please explain.
Great sir
Sir by defination 1 is not limit point but u say 1 is limit point why...?
Nice 👍
Sir 5 k liye open set X hai to
Good conception ❤️
i don't think it is right : definition of open set: point "p" is limit point of set "A" if every open set containing "p" must contain an element of "A'' other than p then p is limit point. Here {1} is open set and it is not satisfying the condition. So, 1 is not limit point. Reference: Schaum series
Sir ap ko ik guaid krna hy ..ap jo bhe video bnao os sy phly pichly topic ka name lia kr kah is phly ap ko ya video dakhna zarori ho gy...thanks sir
muj ko jab bhi koi topic milta hai chahay wo topology ko ho ya science ka ya islam ka main us topic per video bna deta hoon.....her video main pechaly lecture ka naam lena mera muj ko nahi lagta k itna zarori hai...q k main topic wise videos banata hoon.....jab bhi koi topic mil jaey us per video bana deta hoon,,,,,,thanks
@@DawarAhmad22 thanks sir ....baki ap ky lecture toplogy sy bhot faida how
Please add English subtitles.
for this set 3,4,5,6 is limit points and also derived set
4 is not a limit point in this case
Good Sir
Bro~
Read the topic "Accumulation Points" in schaum outline of theory and problems of General Topology.
Hope, it will be helpful for you to find the error in your lecture..
U are right. His def is not true
Thank you for this
You are wrong.
Limit point of a set A can also belong to A.
Let A= {a,b,c}, X={a,b,c,d}
T={ {}, X {a},{a,b}, {a,b,c}}
Clearly a is a limit point of A, since {{a,b}/{a}}^{a,b,c}=b
Thus a is a limit point of A, which is also belongs to A.
sir g plz ....nbhd base at a point py b vedio share kryn
What are the limit points of the subspace of reals {1/n: natural numbers} with standard topology. Pls tell me sir
0 limit point ha iska
Sir g intersection ak bad usi set ko nafi bhe kea jta hy i think
Sir g X to mujod hai na with respect to 5 kion k X be open set hai
same question
nice work i understand you leacture sir g
5 k liy open Set X hai or 6 k liy b X i m confused
you are understanding correct. They have solved totally incorrect as limit points are 5,6.
Thanks sir mai ne topology mai ap jesa concept kese ka nhe deka..
excellent
Sir, it's not a topology because junction 1 with 4.3 doesn't exist.
Aoa sir.. ap Kahan rhte hen sir g..apsy agr classes Leni hn to kis jga
V good
Sir or video daliyena plizz aapka explaination bhot clear hair👍👍
sir here x is also in tou so my qustion is that isn't 6 be limit point of this example too
apki definition galat he sir....kyuki perfect set ki definition ke mutabik Derive set of A=A aata he...to limit point A ke set me se bhi mil sakte he
Nice method
Sir 1st example ma point 5 or 6 k around open set mojod ha which is X
gud effort bro ya sb to sahi sa techers b explain nhi krta
Great video ....sir can u plz give us a lecture on finite product space
Bhae galat concept dya ha limit point ka
sir jeb ap ne topology change ki hai to ,ap swal galat ker liya hai
{2}U{4,5}={2,4,5} which is not in T,,,,,,IT MEANS YE TOPOLOGY HI NHI HAI.......CHECK IT
Right
Thank u sir g
At 0.100 time {2}U{3,4}={2,3,4} topology main present hi nahi ye aap ny jo Tau liya wo topology ki definition ko hi fulfill nahi kr rah
Sir limit point A mn qun nhi h0 skta...c0nfiuzzzzzzz
Wow
great...
are u sure this concept is true that limit point is outside the subset A
No
1 is not limit point because every nbd of 1 is also {1} . but its intersection with A is phi
topology subject hi aesa ha pata ni koi video hi ni milti jo thk sy concept day skay its very interesting subject but thora tough ha
Noor Ul huda ap rigorous Mathematics k name se chenal ko subscribe karain ,,, inshallah ap satisfy hu gi
Explain N - dimention Euclidean space and convex set
topology have more than one limit points.......???is it true but theorm is that 'limit points are always unique....
AP real analysis or topology to mix up kr rhay hain
real line pr ya number sets pr khas kr real set pr jb koi function define kia jata ha limit find krnay k liay then os k liay yeh condition ha k apki limit unique ho , L.H.L=R.H.L but topology k liay sirf points ni balky pora set jis pr topology define ki ha ya phir jo limit point ki defination ko satisfy krty hain wo limit point main atay hain . example apko dy dyti but type krna mushkl ha is liay im sorry for that.
Ye T set Topology hi NH h ap ny topology hi galat banai h
Sir , ACC. To def. Of limit point A intersection G(open set) -(x) not equal to phi , your example not satisfying it
1 is not a limit point
Dfrent book mn bunny hoy hen
please define lower limit topology
Sir or b lectures upload karan
Good sir
Yaar 5 ka open set hai udar X khud he hai
Mashallah sir g
Thanks
Ksi ko commutative algebra ata ho tu phra dain mjy plzzzzzz
sir connected space ka topic nai hai....
Are you sure which topology you written on board is satisfying all three conditions of Topology????
Check it again sir
Because {1}U{3,4}={1,3,4} & {2}U{3,4}={2,3,4} is not contained in your written topology
So this is not a Topology because its not complete the Union condition of Topology
Samjhaya theek aap ne par definition likhwa de achcha hoga...
Nice sir
Thanks
v.well sir
please sir koi foreign book dekho
like topology without tears
Sir,this is not a topology ..plz check...This topology not fulfill the axioms ...plz
please explain why this is not topology then I will check InshaAllah
Thanks sir
50% ٹھیک اور 50% غلط ہے لیکچر
Ok I understand ur effort and appreciate it but since you have explained it wrong u should delete this video and present a new lecture on this topic with good understanding.