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Introduction to Open and Closed Sets

  Рет қаралды 221,373

Elliot Nicholson

Elliot Nicholson

Күн бұрын

Пікірлер: 82
@bentran1497
@bentran1497 9 жыл бұрын
You definitely should be teaching in a university, you have done a better job than my lecturer, in the scale of 8mins : 2hrs :)) thanks
@aliakaamish
@aliakaamish 10 ай бұрын
True
@buddahratt
@buddahratt 9 жыл бұрын
Very informative, concise and intuitive description .10/10 would bang.
@carlosmorales300
@carlosmorales300 4 жыл бұрын
This man speaks about sets with a passion.Very helpful video, thanks!
@jadoreux
@jadoreux 10 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!
@martinkioko8286
@martinkioko8286 7 жыл бұрын
your from which school
@DrUBashir
@DrUBashir 9 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!
@Lionfish5656
@Lionfish5656 4 жыл бұрын
I agree Much better than what I learned in class
@KHLam-qv3gh
@KHLam-qv3gh 3 жыл бұрын
You are explaining in a clear and easy way for students to understand. Thank you so much!
@tatatea7384
@tatatea7384 3 жыл бұрын
THANK YOU! I never understood these before I found your channel
@joelcastellon9129
@joelcastellon9129 9 жыл бұрын
This was always a hole in my background of math at college. Thanks!
@sgtcojonez
@sgtcojonez 8 жыл бұрын
I wish you were my Topology professor.
@sethhall53
@sethhall53 4 жыл бұрын
I actually didn't know anything about topology, but now I do. Thanks.
@firrasatali7513
@firrasatali7513 3 жыл бұрын
This made sense to me very clearly... Thanks
@arthurlbn
@arthurlbn Жыл бұрын
Amazing class thanks for saving us
@konstantinburlachenko2843
@konstantinburlachenko2843 4 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.
@kunalgupta339
@kunalgupta339 4 жыл бұрын
Thanks for giving a good sense of understanding
@AlexandreGurchumelia
@AlexandreGurchumelia 4 жыл бұрын
Nobody: Mathematicians: Clopen
@noahz.2054
@noahz.2054 8 жыл бұрын
please keep doing what you do
@divyanshirastogi9755
@divyanshirastogi9755 8 жыл бұрын
Thank you! The pictorial representation makes the difference clearer. :)
@tho_norlha
@tho_norlha 3 жыл бұрын
thank you very much, everything is so clear now
@abhinandan008
@abhinandan008 9 жыл бұрын
great explantion..I irritated my quantum mechanics teacher numerous time yet he couldn't explain this simple concept to me..
@jasonchan0925
@jasonchan0925 3 жыл бұрын
In other words, an open set is a set without boundary and all points stay within.
@bexisbonkers
@bexisbonkers 10 жыл бұрын
Thank you for not confusing me!
@aasthasehgal906
@aasthasehgal906 4 жыл бұрын
SAVED ME! Thank you
@navyaakkageorge7635
@navyaakkageorge7635 4 жыл бұрын
This so helpful.Thank you so much
@thetedmang
@thetedmang 6 жыл бұрын
Incredibly helpful, wish you had a series on real analysis
@ruchikaagarwal5591
@ruchikaagarwal5591 6 жыл бұрын
thetedmang He does.
@thetedmang
@thetedmang 6 жыл бұрын
@@ruchikaagarwal5591 He has a topology series, slightly different topic
@chandin69
@chandin69 6 жыл бұрын
To the point. Liked and subscribed thank you good sir!
@mlamba91
@mlamba91 4 жыл бұрын
Amazing explaination!!
@elliotnicholson5117
@elliotnicholson5117 4 жыл бұрын
Thank you for watching.
@mlamba91
@mlamba91 4 жыл бұрын
@@elliotnicholson5117 haha...sir i was watching your other videos of metric space Simple and crisp explaination sir Great!
@peterfitton
@peterfitton 9 жыл бұрын
Excellent, very clear, thank you
@mrgd7813
@mrgd7813 8 жыл бұрын
nice explanation. thanks. is that an electrophorous?
@samidelcueva
@samidelcueva 6 жыл бұрын
Very good explanation
@Yadunandankini
@Yadunandankini 5 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
@石崴 8 жыл бұрын
clear explanation, thanks!
@alyaamir1222
@alyaamir1222 7 жыл бұрын
great explanation, thank you !
@jacobalchin7498
@jacobalchin7498 3 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?
@nickelmouse451
@nickelmouse451 5 жыл бұрын
Thank you, very clear!
@imranmohammed8034
@imranmohammed8034 8 жыл бұрын
Great lecture
@Voyagenius
@Voyagenius 7 жыл бұрын
amazing video!
@pradeshkumartripathy6557
@pradeshkumartripathy6557 8 жыл бұрын
how do u find closure of an open complex set??
@dichavoz3632
@dichavoz3632 4 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?
@joaohax52
@joaohax52 3 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.
@aabhasvijz
@aabhasvijz 6 жыл бұрын
Is the union of intersection of 2 open sets open?
@oliverbeck6839
@oliverbeck6839 5 жыл бұрын
yes
@AdityaPrasad007
@AdityaPrasad007 5 жыл бұрын
the empty set and the whole space R^n ; are they an open or closed set? The answer? BOTH?!! :(
@Emmelifall
@Emmelifall 8 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-zw8ji
@Abid-zw8ji 8 жыл бұрын
+Emmeli Skalman hlllllooo
@corlinfardal
@corlinfardal 8 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.
@Lokendrasinghrathorenalu
@Lokendrasinghrathorenalu 4 жыл бұрын
closed bcoz its bounded at -inf and inf
@GOODBOY-vt1cf
@GOODBOY-vt1cf 4 жыл бұрын
thank you so much
@kidbuu8025
@kidbuu8025 9 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.
@corlinfardal
@corlinfardal 8 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".
@Kumaryogeshmath
@Kumaryogeshmath 4 жыл бұрын
Thankuuu sir ji
@anasabuabed1641
@anasabuabed1641 5 жыл бұрын
You are Intelligent please t
@alexanderlewzey1102
@alexanderlewzey1102 9 жыл бұрын
Great stuff
@imranbashirr415
@imranbashirr415 7 жыл бұрын
Good effort
@isaacwang3900
@isaacwang3900 8 жыл бұрын
nice video, thanks
@pajeetsingh
@pajeetsingh 3 жыл бұрын
Open set looks like universe.
@joaohax52
@joaohax52 3 жыл бұрын
it isnt tho
@joaohax52
@joaohax52 3 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
@joaohax52
@joaohax52 3 жыл бұрын
X is a closed set if the limit of every xn in X (for all n) is in X
@rakotondrazakatojoherilant6403
@rakotondrazakatojoherilant6403 5 жыл бұрын
What if we work in R+?
@saujanyakapil3598
@saujanyakapil3598 5 жыл бұрын
wont make a difference, even in R+ infinity is not contained
@messpilo
@messpilo 7 жыл бұрын
Thank you .
@janah701
@janah701 8 жыл бұрын
what is the difference between open set and open interval? Please reply me 😢
@cccookie4978
@cccookie4978 8 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.)
@thanooos963
@thanooos963 6 жыл бұрын
Toy
@fandradechavez1
@fandradechavez1 4 жыл бұрын
Great!!
@이건희-k6u
@이건희-k6u 8 жыл бұрын
thanks professer
@WA-hq6ls
@WA-hq6ls 5 жыл бұрын
you are just too good, can you please teach at ubc, fk my prof
@PS-eu6qk
@PS-eu6qk 9 жыл бұрын
good.
@taynew6408
@taynew6408 4 жыл бұрын
Nigga what? - an 8th grader who just wants a C in math
@thomasedison8003
@thomasedison8003 8 жыл бұрын
Thanks ;)
@limitsatinfinity4393
@limitsatinfinity4393 4 жыл бұрын
Who is here from UTEP?
@kaushikdr
@kaushikdr 4 жыл бұрын
The closed set of what you can explain doesn't exist
@aleks0_o879
@aleks0_o879 8 жыл бұрын
I was looking for pick up advice lol
@xilinchen1731
@xilinchen1731 5 жыл бұрын
Too superficial... need proofs steps
@colinmcmahon2761
@colinmcmahon2761 6 жыл бұрын
No, you weren't studying anything
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