Introduction to Algebraic Topology | Algebraic Topology 0 | NJ Wildberger
Why Mathematics Stack Exchange recommends it
Mathematics Stack Exchange users link it as a visual, approachable starting point for algebraic topology and as a reference for the course the series belongs to.
Recommended by 1 people across 1 different months, 2012 to 2024.
What it is
The opening lecture of N J Wildberger's beginner course in algebraic topology at UNSW, outlining the main topics and posing three challenging problems. It targets 3rd or 4th year math undergraduates with some group theory background.
What people said
Recommends Topology Titan · 2024-10 · Mathematics Stack Exchange · on “How to study algebraic topology?”
Algebraic topology can be difficult, but it’s also incredibly exciting! My advice is that if you feel this topic could be something that you are interested in, and you feel that there’s something elegant there, don’t give up. Rather, stay motivated and look for the explainations which make sense to you . Let me propose a few resources to you which you may find helpful. My disclaimer being that these choices likely reflect the ways in which my brain thinks - usually this is wanting a very visual or motivating example, and slowly adding formalism after the foundations are set. I won’t be offended if you’re not a fan of these - pick and choose from them as you please! Videos : For quite visual
Cites Victor · 2012-04 · Mathematics Stack Exchange · on “How to make this topological object with a single piece of paper and without glue?”
Started on 18:14 on this video(problem 1), A professor mentioned he could make a topological object with a single piece of paper and without glue, how are you able to make it? By the way, how does that have to do with the theory of topology. link: [this video]
Cites Eden Zane · 2022-11 · Mathematics Stack Exchange · on “Reference request for cohomology and differential forms”
I have been watching the Algebraic topology [this video] lectures of Prof. Norman Wildberger. On finishing the series, I am eager to know whether there is any follow up lecture series on cohomology, differential forms etc. Unfortuantely I couldn't find the lectures by Wildberger. Are there any good set of lectures to understand the ideas of cohomology, differential forms etc. NB: I have Algebraic topology book by Allen Hatcher, I find it has slightly different notation as used by the Wildberger in his lectures.