Algebraic Topology 0: Cell Complexes

How do we build a space? Topics covered include gluing diagrams for torus and 2-holed torus (and more holes), Cell Complexes (also called CW complexes), and operations on spaces including product space , quotient space, and wedge product of spaces.

Presented by Anthony Bosman, PhD.

[RedBarD]

Wow, someone actually trying to explain high level maths, instead of just speaking above the students and not really giving a crap whether they're following or not. Wonderful!

[luyombojonathan]

I really hope this particular instructor has more math topics he covered !!! Amazing instructor

[-minushyphentwo]

for future reference:
21:35 finishes review of sticking the edges of polygons together to make surfaces
22:00 how to build a cell complex
46:00 euler characteristic of RPn, calculated by building it up as a cell complex
46:33 product of two complexes
54:25 boundary of a product
1:03:15 quotients

[yeast]

We're very lucky to have a whole algebraic topology course on here for free. Just started to go through Hatcher's book myself, these lectures are great.

[underfilho]

I'm just on a course of topics in topology right now, where we are learning Algebraic Topology, so much content, definitions and notation that I cant understand in the course are said to be "obvious" or "trivial". This playlist is so great that it starts with the basics, now I can understand better. Really apreciated.

[brynadone]

Thanks Andrew! I like to pause the video when you ask a question and see if I can get it right- which I do about half the time!

[simeondermaats]

What a charming professor, their passion for algebraic topology really radiates from the screen.

[ikechukwumichael]

Thank you Andrews University and Professor Bosman for making such a hard taught subject very simple to understand with high quality video and audio. Thank you so much. waiting for new courses like Algebra(Abstract), Number theory, Lattices, Real, Complex and functional analysis.

[YitzharVered]

This is amazing, I've tried learning algebraic topology so many times, but this might just be the one to finally get me through it!

[KyumarsDadelahi]

I am new to AT - this was a really great lecture on cell complexes, very clear also super interesting!

[agustinr.menchen]

These classes are wonderful. My respects to you from Spain.

[rand_-mklb]

This is easier than I thought it would be. I'm prepared, thank you.

[pseudolullus]

Hatcher's book is great, nice choice!

[iguananaut]

You're a great lecturer, thank you for making these available! I've always struggled with this subject and this has made it much more accessible to me.

[imthebestmathematician]

Thanks a lot Andrew for sharing with us these wonderful lectures !

[Mouse-qmwn]

What great teacher you are❤️Thank you for this lesson 😊👍

[NothingMaster]

He has a special relationship with the book. That’s completely understandable. 😅

[rizalpurnawan]

Thanks for the great lectures! I do really learn algebraic topology from your lectures! 👏

[mdfakhrudin]

just a humble query, will the entire series of algebraic topology would be uploaded in this channel ?

[naghdezartoshtian]

I dont get how the 2-skeleton map phi gives us the torus.
I wish he would have visualized a bit more that step