Wow, that was remarkably clear - thank you! I've struggled with sheafs and presheafs for a while now, and this really helped bring the abstract notions together.
@aminsheykh9940 Жыл бұрын
This was a very good explanation. Thanks for saving me my time.
@romdotdog4 ай бұрын
This helped me finally understand sheafs after struggling with it for a day. Thank you so much!!!!
@craploadofexamples28442 жыл бұрын
This is the best explanation of this concept I’ve ever seen.
@ghazan5558 жыл бұрын
wao nice way to explain the concept of sheaf...,
@fbkintanar2 жыл бұрын
A nicely intuitive explanation of contravariance of restriction maps in the presheaf functor. When I first met the sheaf conditions, they seemed a bit out of the blue, arbitrary, unmotivated. I'm not coming from analysis, but from model-theoretic and categorical logic.
@mitchellloren35684 жыл бұрын
really good explanation, thanks.
@Theonemen53 жыл бұрын
Really good explanations! Thank you.
@rajanalexander49493 жыл бұрын
Excellent explanation; thank you!
@ronaldjorgensen683910 ай бұрын
thank you
@ac-dp3jk6 жыл бұрын
A great video thank you Sir !
@subhamjaiswal36773 жыл бұрын
1:58 u say 'if something is differentiable on V then it's obviously differentiable on U' I think you meant to say the opposite.
@albertogarcia417726 күн бұрын
I understand a presheaf F is a contravariant functor from the category of the topological spaces Top to the category of abelian groups Ab. At 7:47 what do you mean with s/U_alpha?. Notice it should be an element of some abelian group.
@brudy1004 жыл бұрын
excellent!
@vinbo22324 ай бұрын
May I ask why the presheaf of bounded functions must be constant, please?
@InquilineKea Жыл бұрын
why are restiction maps "restrictions"?
@rostislavsvoboda70134 жыл бұрын
I can't help myself but all I see at 14:16 is just a circle crossing a line at a specific point but no skyscraper near or far. Can someone explain how to look at it please?
@hollya.g.863 жыл бұрын
the speaker didn't really go into it, but I think from looking it up that it's called skyscraper because it represents a whole group or set at a single point in a space. the circle represented the space here, and the line was the values of the members of the group, and the sheaf contains the whole group at a single site in the space.
@zavvie8094 жыл бұрын
at 11:40 we have to limit ourselves to holomorphic/entire functions or something
@pronaybiswas7524 Жыл бұрын
Can you recommend some books
@Sunlessmage8 жыл бұрын
Hi, under which series does this belong ?
@HarpreetBedimath8 жыл бұрын
+Sunlessmage Sheaves and Coho
@mikhailmikhailov87814 жыл бұрын
General nonsense ;)
@Pygmygerbil883 жыл бұрын
@@HarpreetBedimath cohomology? so its a sub set of alberaic topology or group theory?
@oxide56903 жыл бұрын
@@Pygmygerbil88 sheaf cohomology can be used in geometry in general, especially algebraic geometry.