You definitely should be teaching in a university, you have done a better job than my lecturer, in the scale of 8mins : 2hrs :)) thanks
@aliakaamish10 ай бұрын
True
@buddahratt9 жыл бұрын
Very informative, concise and intuitive description .10/10 would bang.
@carlosmorales3004 жыл бұрын
This man speaks about sets with a passion.Very helpful video, thanks!
@jadoreux10 жыл бұрын
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!
@martinkioko82867 жыл бұрын
your from which school
@DrUBashir9 жыл бұрын
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!
@Lionfish56564 жыл бұрын
I agree Much better than what I learned in class
@KHLam-qv3gh3 жыл бұрын
You are explaining in a clear and easy way for students to understand. Thank you so much!
@tatatea73843 жыл бұрын
THANK YOU! I never understood these before I found your channel
@joelcastellon91299 жыл бұрын
This was always a hole in my background of math at college. Thanks!
@sgtcojonez8 жыл бұрын
I wish you were my Topology professor.
@sethhall534 жыл бұрын
I actually didn't know anything about topology, but now I do. Thanks.
@firrasatali75133 жыл бұрын
This made sense to me very clearly... Thanks
@arthurlbn Жыл бұрын
Amazing class thanks for saving us
@konstantinburlachenko28434 жыл бұрын
I think it's possible to compress 00:00 to 03:08 -- "Set M of metric space R is open - if it consisting entirely of interior points" . I think in the previous video you have already covered all details. But in any case - thank you. The vision of such detail can be lie in that this video by itself is self-contained.
@kunalgupta3394 жыл бұрын
Thanks for giving a good sense of understanding
@AlexandreGurchumelia4 жыл бұрын
Nobody: Mathematicians: Clopen
@noahz.20548 жыл бұрын
please keep doing what you do
@divyanshirastogi97558 жыл бұрын
Thank you! The pictorial representation makes the difference clearer. :)
@tho_norlha3 жыл бұрын
thank you very much, everything is so clear now
@abhinandan0089 жыл бұрын
great explantion..I irritated my quantum mechanics teacher numerous time yet he couldn't explain this simple concept to me..
@jasonchan09253 жыл бұрын
In other words, an open set is a set without boundary and all points stay within.
@bexisbonkers10 жыл бұрын
Thank you for not confusing me!
@aasthasehgal9064 жыл бұрын
SAVED ME! Thank you
@navyaakkageorge76354 жыл бұрын
This so helpful.Thank you so much
@thetedmang6 жыл бұрын
Incredibly helpful, wish you had a series on real analysis
@ruchikaagarwal55916 жыл бұрын
thetedmang He does.
@thetedmang6 жыл бұрын
@@ruchikaagarwal5591 He has a topology series, slightly different topic
@chandin696 жыл бұрын
To the point. Liked and subscribed thank you good sir!
@mlamba914 жыл бұрын
Amazing explaination!!
@elliotnicholson51174 жыл бұрын
Thank you for watching.
@mlamba914 жыл бұрын
@@elliotnicholson5117 haha...sir i was watching your other videos of metric space Simple and crisp explaination sir Great!
@peterfitton9 жыл бұрын
Excellent, very clear, thank you
@mrgd78138 жыл бұрын
nice explanation. thanks. is that an electrophorous?
@samidelcueva6 жыл бұрын
Very good explanation
@Yadunandankini5 жыл бұрын
open balls are usually written with dotted lines right? I see that you have not used a dotted line for the open ball in the video. Please guide me with this. @Ben1994
@石崴8 жыл бұрын
clear explanation, thanks!
@alyaamir12227 жыл бұрын
great explanation, thank you !
@jacobalchin74983 жыл бұрын
awesome video mate but i have a question, what’s stopping us from setting the radius of the epsilon ball to a number big enough so that part of the circle was outside the set meaning that the point was included in an open set?
@nickelmouse4515 жыл бұрын
Thank you, very clear!
@imranmohammed80348 жыл бұрын
Great lecture
@Voyagenius7 жыл бұрын
amazing video!
@pradeshkumartripathy65578 жыл бұрын
how do u find closure of an open complex set??
@dichavoz36324 жыл бұрын
I didît understand do u mean it's open set if all elements are in the set U? And it's closed set if the elements are out of the set C?
@joaohax523 жыл бұрын
The set is open if every point in the set has a neighbourhood within the set itself (for example the interval (0, 1), every x within has a neighbourhood, just pick the lesser between _x_ and _1-x_ (think of it geometrically, a line from 0 to 1 but not including those ones) and set e lesser than min{x, 1-x}. You see that (x-e, x+e) is within (0,1) for an e, foe every x (you can stretch the proof by formalising). A closed set is a set which its complementar is open.
@aabhasvijz6 жыл бұрын
Is the union of intersection of 2 open sets open?
@oliverbeck68395 жыл бұрын
yes
@AdityaPrasad0075 жыл бұрын
the empty set and the whole space R^n ; are they an open or closed set? The answer? BOTH?!! :(
@Emmelifall8 жыл бұрын
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....
@Abid-zw8ji8 жыл бұрын
+Emmeli Skalman hlllllooo
@corlinfardal8 жыл бұрын
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.
@Lokendrasinghrathorenalu4 жыл бұрын
closed bcoz its bounded at -inf and inf
@GOODBOY-vt1cf4 жыл бұрын
thank you so much
@kidbuu80259 жыл бұрын
"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.
@corlinfardal8 жыл бұрын
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".
@Kumaryogeshmath4 жыл бұрын
Thankuuu sir ji
@anasabuabed16415 жыл бұрын
You are Intelligent please t
@alexanderlewzey11029 жыл бұрын
Great stuff
@imranbashirr4157 жыл бұрын
Good effort
@isaacwang39008 жыл бұрын
nice video, thanks
@pajeetsingh3 жыл бұрын
Open set looks like universe.
@joaohax523 жыл бұрын
it isnt tho
@joaohax523 жыл бұрын
[a, b] is closed since R - [a, b] is open (-inf, b) U (a, inf)= R - [a, b] (-inf, b) is open (a, inf) is open the union of two open sets outcomes another open set
@joaohax523 жыл бұрын
X is a closed set if the limit of every xn in X (for all n) is in X
@rakotondrazakatojoherilant64035 жыл бұрын
What if we work in R+?
@saujanyakapil35985 жыл бұрын
wont make a difference, even in R+ infinity is not contained
@messpilo7 жыл бұрын
Thank you .
@janah7018 жыл бұрын
what is the difference between open set and open interval? Please reply me 😢
@cccookie49788 жыл бұрын
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.)
@thanooos9636 жыл бұрын
Toy
@fandradechavez14 жыл бұрын
Great!!
@이건희-k6u8 жыл бұрын
thanks professer
@WA-hq6ls5 жыл бұрын
you are just too good, can you please teach at ubc, fk my prof
@PS-eu6qk9 жыл бұрын
good.
@taynew64084 жыл бұрын
Nigga what? - an 8th grader who just wants a C in math
@thomasedison80038 жыл бұрын
Thanks ;)
@limitsatinfinity43934 жыл бұрын
Who is here from UTEP?
@kaushikdr4 жыл бұрын
The closed set of what you can explain doesn't exist