Why is Technology Used?
Magic Leap Development with VSCode – Tracking your Code with Source Control Technologies
A Day In the Life of An Informatics Pharmacist | Episode 2
abelian algebra Algebraic AlgTop33 boundaries circle commutative computation course cycles disk Education groups homology Mathematics quotient sphere topology Wildberger
Please don't intefear in my evolutionary patters, you make lose the smoothness and continuity of its flow! But thanks for great work
Very clear explanation – thanks!
I'm just doing an algebraic geometry course on Erasmus and this really helped me to filled my lack of knowledge in tolopology needed for the class.
sir, can you please send the link for finding triangulations of polyhedra if there is any
I love it. Wildberger saves us from the dreary task of grinding through the usual tomes on this subject, where the authors seem to believe that drawing a single picture would make the subject somehow less glorious 🙂
Thanks for the video. I would actually like to know why you considered (x z) to be equal to – c. Clearly it is the difference in orientation, but is there an argument which would work for higher dimensions?
Absolutely impressive! I am wondering if it is possible to post the videos for like: PL Gauss-Bonnet theorem, and about chain derivation results. Thank you for your generosity and your support!!!
This is exactly what I was looking for. It was a bit abstract and now it makes perfect sense, roughly the dimension of a homology group counts the number of cycles that aren't boundaries. This equivalently measure how many "holes" there are of r-dimension in the space. Very cool, Thanks!
Great lecture. Thanks!
MASSIVE thank you for uploading this. It's so much clearer to me now.
really love it，Thanks
+njwildberger I am in an algebraic topology course that essentially starts from your 35th video (intro to homology) and we are reading hatcher which is good but I find it too verbose, are there any (modern & friendly) books you would recommend on the subject? By the way, I really have enjoyed watching these videos the subject has really come alive and I'm able to appreciate the abstract setting with your great examples.
thanks, this video helped a lot!
Highly useful lectures, thanks! As I understood you used the argument that a map is injective if it is non-zero on generators. Can this always be applied in the setting of homology? I was thinking of the projection from the integers onto Z/2Z as a counterexample…
The del-zero map is always zero, since there is no chain group of dimension -1.
This is true—here is a good problem: after you have finished watching this video and the next, see if you can compute the homology groups of the Klein bottle.
And could you give an example where the del-zero map is not a zero map?
But how do you define the del-zero map?
By the way, you have not given any problem sets (or do you) in these several lectures…..
Awesome video! Thanks!
Your email address will not be published. Required fields are marked *
Save my name, email, and website in this browser for the next time I comment.
Your Website URL