What exactly IS topology? : r/math - Reddit
maybe. But algebraic topology is about what can be continuously deformed into what. homotopies and homotopy equivalences. knots are homeomorphic to circles but their embeddings cannot …
Why is topology worth studying? : r/math - Reddit
Jul 7, 2022 · I own Munkres' topology textbook. I checked my local university and their 400 level topology course uses this textbook and covers the first three chapters. I have done some …
Any good online resource to study topology for a total ... - Reddit
Mar 15, 2024 · For algebraic topology you will need some point-set topology (maybe less than a full course, but most of one) and, naturally enough, algebra. ("Real" algebra, not solving for x- …
How is Munkres’ Topology’s coverage of Algebraic Topology?
Apr 4, 2022 · Rotman's An Introduction to Algebraic Topology has a couple of (IMO) slightly shaky chapters on point-set topology which you might be able to skip, but after that it is a very solid …
Your experiences with learning topology? : r/math - Reddit
Apr 7, 2022 · Algebraic topology is a mixed bag. On the one hand, the constructions of the different algebraic invariants of a space are beautiful and intuitive but on the other hand the …
What are the prerequisites for learning topology? : r/math - Reddit
Dec 20, 2013 · For algebraic topology, you need some basic point set topology unfortunately, and some calculus can be useful, and of course you need the algebra (groups etc). But otherwise I …
Strongest math departments in algebraic topology in the US
Mar 10, 2019 · Now it seems that the middle-tier schools have even stronger math departments in algebraic topology (or perhaps just more people in those departments). For example - …
What is Analytic Topology? : r/math - Reddit
Sep 12, 2021 · The other interplay between analysis and topology is really a differential topology, which is totally different from functional analysis, but it is much closer in its spirit and methods …
Not doing so well in topology, how to proceed? : r/math - Reddit
Sep 18, 2014 · The "Topology" I spoke of is the small subset of Topology which is usually taught as a first year graduate, namely (and almost exclusively) Hatcher. I figured that this was what …
I Want to Understand Topology Deeply. How Should I Approach it?
Sep 6, 2022 · It's is a quick, yet readable and rigorous intro to topology, and gets into some algebraic topology and facts about topological manifolds (which is useful in its own right for …