I am having trouble in my advanced calculus class (which is sort of a hybrid of intro to real analysis and calculus 3? weird course that is currently some number theory, set theory, some topology, and some things that i havent had any experience with in the past, which this helps with so thank you!)
Would a point still be an interior point if it reaches a point not in the set? for example let's say in the example set we use 3 as the point, if we "stretch out" we reach 4 which is not in the set, would the 3 then be an interior point?
Interior points of A just need to have *some* reach-out radius that only touches points of A. So yes, a reach of radius 1 from x=3 will touch 4 which is outside the set, but a reach of radius 1/2 will *only* touch points of A and that is enough to say 3 is an interior point of A.
I come from Vietnam and this is a great way to learn Math. Thank you professor Matthew
Thank you so much! Your explanation is so clear that I can understand all of them!
Love these videos! Many thanks for these. 😃
You save my master degree, thank you sir.
I am having trouble in my advanced calculus class (which is sort of a hybrid of intro to real analysis and calculus 3? weird course that is currently some number theory, set theory, some topology, and some things that i havent had any experience with in the past, which this helps with so thank you!)
This video is really helpful thanks a lot
Thanks Prof,that is quite helpful
Thank you!
Thank you! You made it easy ❤
The yoongi pfp 😭
thank you so much! ☺
Thank You !!
Hi ,nice explanation.
Could you prove that the set of accumulation points are always closed for any set?
Would a point still be an interior point if it reaches a point not in the set? for example let's say in the example set we use 3 as the point, if we "stretch out" we reach 4 which is not in the set, would the 3 then be an interior point?
Interior points of A just need to have *some* reach-out radius that only touches points of A. So yes, a reach of radius 1 from x=3 will touch 4 which is outside the set, but a reach of radius 1/2 will *only* touch points of A and that is enough to say 3 is an interior point of A.
its really helpful...bt why did you leave out points between 4 and 6?
Because the points between 4 and 6 are not in the set A
you save me thanks you
Wish I'd found these videos earlier. I needed the stick figures 😭Exam 2moro. Need 15% to pass and hoping to get them in topology😅