Isolated Point, Interior Point, Exterior point, Boundary & Frontier Point: Real Analysis| Topology-7

REAL ANALYSIS (POINT SET TOPOLOGY)
In this video we will discuss :
1. Isolated Point with examples
2. Interior Point with examples
3. Exterior Point with examples
4. Frontier Point with examples
5. Boundary Point with examples
watch also -
Upper Bounds, Lower Bounds, Supremum, Infimum, Bounded and Unbounded Set| Real Analysis Topology-1
• Upper Bounds, Lower Bo...
What is Interval & types of intervals in Real Analysis| Point Set Topology-2
• What is Interval & typ...
Neighbourhood of a Point and Deleted Neighbourhood of a Point | Real Analysis| Point Set Topology-3
• Neighbourhood of a Poi...
Adherent point in real analysis | Closure of a Set : Point Set Topology-4
• Adherent point in real...
Limit Point of a Set | Real Analysis | Derived Set of a Set : Point Set Topology-5
• Limit Point of a Set |...
Limit Point, Adherent Point, Condensation point Comparison | Real Analysis | : Topology-6
• Limit Point, Adherent ...
PLAYLISTS LINK :
1. Cauchy integral formula and proof
• Cauchy Integral Theore...
2. Maxima & Minima (Extreme Values)
• Maxima & Minima (Extre...
3. ε-δ Definition of Limit
• ε-δ Definition of Limit
4. BSc Mathematics
• BSc Mathematics
5. Conformal Mapping
• Conformal Mapping
6. Complex Analysis
• Complex Analysis
7. Singularity and Residue
• Singularity and Residue
8. Differential Equation of first order & first Degree
• Differential Equation ...
9. Differential Equation
• Differential Equation
10. Point Set Topology in Real Analysis
• Point Set Topology in ...
#RealAnalysis
#PointSetTopology
#AdherentPoint
#ClosureSet
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[@snehadwivedi7882]

THANK YOU Sir, your teaching not only help me to complete the topic theoretically but also help me to realise and understand the topic. recently I completed Complex Analysis with help of your videos and now I am way to Real Analysis.

[@santhakumarv8104]

Any exam preparation???

[@warriorsofeducations]

😮

[@jainshikhar222]

Sir agar aapki ki video nhi dekhta to main ye topics book main skip kar deta aur uski bahut wajah se bahut knowledge bhi rah jati janane se. Thank you sir🙏

[@chandigarh...1437]

Thanks so much sir... Rabb thudi umar bhut lami kre sir. Or rabb thunu bhut sariya khushiya deve.. Ap bhut hard work krva rhe o sir thanks sir 😍👍👍👍

[@siddharthkhandelwal933]

It feels you live with Real Analysis . All the videos clear concepts so well in such a short even i get amazed. ThankYou for making these videos keep covering all the topics of real analysis

[@praveenkumarbrathod7299]

As always great explanation which left behind no doubts thanks a lot sir we are humbly waiting and please do complete whole chapter sir

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I agree with you 😊

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[@Kadamba_Mayura]

What an explanation sir I really understood whole concepts thanks a lot
Very good morning Sir we are eagerly waiting for next concepts

[@yamunadatt825]

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[@MuhammadAbbas-xn5fv]

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keep it up

[@jasmeentuba9079]

Sbhi set and Point Axa lga Vdo dekh kr pura smjh me aaya Thnx sir

[@PriyaYadav-he1ij]

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[@artidevi8628]

Aapke Vedio dekhne ki vjh se mere sare doubts clear ho gye

[@syedfaizan5841]

Ekdum Best 👍

[@rajkala9544]

What an explanation of this definition osm sir.. Your way of teaching is like dubey sir..
I think so You are his student

[@vinayaksahu5334]

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Sir,..Real Analysis subject ka or video make karo sir...all chepter please please

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[@hustle226]

Awesome explanation sir ,

[@Sorya-gf7qw]

Sir 8:36 you said if S is nbd of alpha then it's interior point . let
S = (1 , 3 ) U (5, 6) then 2 is obviously interior point of S but can we say that whole set S is nbd of 2 or just intervel ( 1 , 3 ) a part of of S . We can't say that ( 5 , 6 ) is nbd of 2 ofcourse .
Great series I am learning a lot 😊

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Outstanding lecture @ sir

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Tsm

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[@8utkarshsahu609]

Nice explanation

[@Sachinkumar-pl3pr]

Sir aap bahut accha bta rhe ho
Per sar boundary point of Q is R
= Q closer - Q interior
=Q union-Q'-Qinterior
=QunionR-empty
=R
That's right ans

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[@awm2645]

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[@sammo5028]

00:36
7:10
13:00
18:52
23:46

[@mallukademani1373]

Mention one best Chanel for topology 1 and topology2
And laplace 1,2,3 like u

[@Doglapan12]

25:00 sir kuch books me boundary points of Rational Number.. Q hi de rakha h..!!

[@tanmayverma7913]

💯💯💯👌👌👌👏

[@explorewithsata]

Sir I have a question... Ext(Q) = R - Q .. why not possible?

[@half-soul8393]

same doubt

[@sandippatwari927]

गुरूजी मैं iit jam का तैयारी करना चाहता हुँ , आप बता देते की आपका कौन 2 वीडियो important hai for iit jam

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Sir, I'm preparing for kset exam, how to get your notes please tel me sir

[@sonisaroj2206]

Good night sir ji mai soni saroj bahut khush hu ki aapne mere comment ko highlight kiya hai but aapne reply nahi kiya ki aap tenser analysis per vedio banayege ki nahi

[@simarkaur6343]

Sir can adherent points be frontier points?

[@mirrafee8912]

Thku sir...notes plz

[@GAURAVSINGH-uy9gp]

Padhate ho sir ekdam makhkhan jaisa

[@rajashreesuryawanshi4471]

Sir what is diffence between isolated pt adp both are same sir

[@anjali-xg6pk]

Adp need not be member of the set bt in case of isolated pt , pt must be a member of the set.

[@abdullahkarim9131]

Sir I need a help..I'm finding your video about Cauchy Goursal theorm...but I can't find. Please tell if you made video

[@abdullahkarim9131]

☹️☹️

[@ignitedminds2147]

No video on this topic

[@abdullahkarim9131]

OK sir.. Thanks for replying.

[@shivamshukla9611]

Good explanation but some time i feel confused

[@avikagupta822]

Is adherent point and interior point same?

[@Ex_salafi]

I don't know why 5 dislikes....but anyway thank you sir

[@ranveersharma.8060]

Sr rational no. Ka interior points empty kyu hota h

[@studyhighway4443]

Sir (0,1) is neighbourhood of each of its points

[@rajashreesuryawanshi4471]

Sir isolated pt are also called frontier pt.?

[@manofculture4396]

Sir can this be the definition of
Boundary point - Let S C R then α € S
is a frontier point of S , if it is neither interior point nor exterior point of S.

[@studychannelmathematics2900]

Sir real analysis ke or video dalo please sir

[@someshnogia2009]

Sir frontier point ko adherent point bol sakate hai kya

[@Koushik._.Mondal]

7:10
13:00
23:46

[@shaikhbilal6510]

Int(Q) is phi?

[@shashank_kishore_]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤