🧵 Topology Books
Anonymous at Sun, 2 Jun 2024 01:25:43 UTC No. 16205543
This summer I am intent on studying Topology.
I have taken the introductory courses, and am planning on doing a Ph.D in the subject. What are the best books, authors, and problems to work on? What is the best website for definitions? I would like to eventually work on something applicable to physics: models of particles and such. I find Frederic Schuller's lectures on YouTube to be quite good. Let me know what I'm in for Topologists.
Anonymous at Sun, 2 Jun 2024 05:04:46 UTC No. 16205788
>>16205543
Well, the standard "introductory grad school" textbook for "general topology" is Lee's Introduction to Topological Manifolds through GTM. Munkres is also very standard for "general topology" at the upper undergrad/lower grad level.
Anonymous at Sun, 2 Jun 2024 05:10:42 UTC No. 16205791
>>16205543
>this thread again
listen folks, if you want to get good at any math subject, read the published papers in your respective journals, the most difficult and groundbreaking ones, and work your way backwards. none of these books are useful if you work through them and can't pickup a recent topology article
the goal is to be able to understand the math and recreate it from a top journal like AMS
if you want to know a conspiracy theory we've solved time travel but the math is so complicated that even experts wouldn't understand it if given the solution
Anonymous at Sun, 2 Jun 2024 10:09:43 UTC No. 16205996
>>16205543
you sure do seem to like talking about yourself on social media
Anonymous at Sun, 2 Jun 2024 18:18:24 UTC No. 16206493
>>16205543
My master's thesis was in topology (homotopy theory). I suggest Willard's "General Topology" and "Modern General Topology" by Nagata if you want more in depth but willards will probably be enough on its own. It's also a dover book so it's dirt cheap.
Anonymous at Sun, 2 Jun 2024 22:53:59 UTC No. 16206905
>>16205791
>we've solved time travel
elaborate