These videos really are incredible. Could you possibly post problems to do for each section? Not sure how difficult problems in this book are but I’ve done some books where the wrong problem could be impossible to do
In the middle of the lecture, I think you omitted one step when taking the measure of (B\A) : you didn’t show it is a member of the Borel set - which is necessary in order to take its measure.
I think, if I'm not mistaken, here the sigma-algebra is not necessarily a Borel sigma-algebra, but just any sigma-algebra. That B \ A is in the sigma-algebra is immediate since B \ A = A \cap B^c, where the right-hand side is in the sigma-algebra from the axioms established earlier (Namely closed under complement and intersection).
![σ-algebras | [generated; partition; Borel]-sigma-algebras & much more](/img/n.gif)
I enjoy these so much! Please Make more stuff , more lectures.
Thank you! Please share more of your lectures. There are many people who never have access to great teachers.
Love it!!!!!!!
"maybe i should've gone into drycleaning or something like that" 😂
These videos really are incredible. Could you possibly post problems to do for each section? Not sure how difficult problems in this book are but I’ve done some books where the wrong problem could be impossible to do
This!
thank you mr marcus
Nice lecture... Sir can mention the book you have followed in this lecture?
Donald Cohn - Measure theory, chapters 1, 2, 3 and 5 (for lectures 1 to 15)
In the middle of the lecture, I think you omitted one step when taking the measure of (B\A) : you didn’t show it is a member of the Borel set - which is necessary in order to take its measure.
I think, if I'm not mistaken, here the sigma-algebra is not necessarily a Borel sigma-algebra, but just any sigma-algebra. That B \ A is in the sigma-algebra is immediate since B \ A = A \cap B^c, where the right-hand side is in the sigma-algebra from the axioms established earlier (Namely closed under complement and intersection).
Seriously, I hate subset notation. No cap
Lol my professor writes on a wet board all the time frfr
arabic plz
lol