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Introduction to Open and Closed sets

505 ratings | 90849 views
The concepts of open and closed sets within a metric space are introduced
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Text Comments (43)
thetedmang (16 hours ago)
Incredibly helpful, wish you had a series on real analysis
ekconomos (28 days ago)
Very good explanation
Fradha Intan Arassah (2 months ago)
Your video is very helpful ❤❤❤ thanks a lot
chandin69 (2 months ago)
To the point. Liked and subscribed thank you good sir!
Aabhas Vij (4 months ago)
Is the union of intersection of 2 open sets open?
JJ 4 (6 months ago)
I've never heard anybody with a more gay voice than this faggot, lmao.
imran bashir (8 months ago)
Good effort
Harish Kashyap (9 months ago)
amazing video!
Alya Amir (1 year ago)
great explanation, thank you !
Michalis Michaelides (1 year ago)
Thank you .
how do u find closure of an open complex set??
Mr GD (1 year ago)
nice explanation. thanks. is that an electrophorous?
Noah Z. (1 year ago)
please keep doing what you do
sgtcojonez (1 year ago)
I wish you were my Topology professor.
Isaac Wang (1 year ago)
nice video, thanks
Imran Mohammed (1 year ago)
Great lecture
Divyanshi Rastogi (1 year ago)
Thank you! The pictorial representation makes the difference clearer. :)
Rowaida AL-r (1 year ago)
what is the difference between open set and open interval? Please reply me 😢
Darrell McPhail (1 year ago)
An open interval is an open set in the real line, R. An open set in R is not necessarily an interval. It could be the union of several ('countably' many) open intervals, for example. To talk about 'openness' you need to specify the base set. An interval that is open in R is neither open nor closed in the Euclidean plane (for example.)
이건희 (1 year ago)
thanks professer
Thomas Edison (1 year ago)
Thanks ;)
石崴 (2 years ago)
clear explanation, thanks!
adankey 0_0 (2 years ago)
I was looking for pick up advice lol
Emmeli Skalman (2 years ago)
what about if i just have a straight line like {(x,y): 4x+3y=7}, is that open or closed or nether? i mean, it goes from -infinity to infinity....
Corlin Fardal (2 years ago)
It's closed. If you consider it's complement you'll see that no matter how close the points get to the line, there will always exist an open ball, meaning that the complement is open, so the line is closed.
Abid 111 (2 years ago)
+Emmeli Skalman hlllllooo
Kid Buu (2 years ago)
"closed is complement of open" It is not true. While you paint the plane in blue you didnt draw the boundary line of the plane, thats implying the plane you drew, is an open plane. It is open one side but closed on other side.
Corlin Fardal (2 years ago)
No, under any topology course I have seen, the definition of a closed set is ALWAYS the complement of an open set. The "open plane" doesn't have anything to do with it because the plane in provably both open and closed, so you could say it's actually closed "from all sides".
ABHINANDAN DASS (2 years ago)
great explantion..I irritated my quantum mechanics teacher numerous time yet he couldn't explain this simple concept to me..
buddahratt shojobo (2 years ago)
Very informative, concise and intuitive description .10/10 would bang.
Joel Castellon (2 years ago)
This was always a hole in my background of math at college. Thanks!
Alexander Lewzey (2 years ago)
Great stuff
Pete Fitton (2 years ago)
Excellent, very clear, thank you
Cross Tran (2 years ago)
You definitely should be teaching in a university, you have done a better job than my lecturer, in the scale of 8mins : 2hrs :)) thanks
Priyabrata Senapati (2 years ago)
Hassan Al-Saadi (2 years ago)
Thanks, it is very clear.
Usman Bashir (3 years ago)
Great and succinct. Found this vid after about an hour of struggling with various other resources online and understand the concept in 8 minutes. Cheerios!
jadoreux (3 years ago)
Less than 2 minutes in and my question is answered straight away! Just needed the definition I guess but was never given it, thank you!
martin kioko (1 year ago)
your from which school
bexisbonkers (3 years ago)
Thank you for not confusing me!

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