I recently tried (again) to understand hierarchical structures as they occur in mathematics. I started with directed graphs and thought about the notion of a minor.
Next I read about groups, the group extension problem and homological algebra (interesting, but a bit too advanced). Then I worked through some material on semigroups (arduous...), and learned that lattice theory might be interesting for me. So I worked through some material on universal algebra, which also covered the basics of lattice theory (very interesting and rewarding). I think I found more or less what I was looking for, so I won't search any further. Instead, I will consolidate what I've learned so far and fill in some minor gaps.
Member for 7 years, 10 months
16 profile views
Last seen Nov 14 at 2:09
- Mathematics 6.5k 6.5k 11 gold badge1818 silver badges5959 bronze badges
- Computer Science 5k 5k 1919 silver badges5555 bronze badges
- Philosophy 3.7k 3.7k 1717 silver badges3636 bronze badges
- Theoretical Computer Science 2.8k 2.8k 1313 silver badges4242 bronze badges
- MathOverflow 2.3k 2.3k 1414 silver badges3232 bronze badges
- View network profile →
Top network posts
- 49 What are some very important papers published in non-top journals?
- 31 How did first-order logic come to be the dominant formal logic?
- 27 On mathematical arguments against Quantum computing
- 25 Proof refutation: Amateur reviews of ambitious CoRR papers
- 23 Mathematical research interrupted by a war
- 19 Is there an O(n log n) algorithm for 4D line simplification?
- 18 Why are mathematician so interested to find theory for solving partial differential equations but not for integral equation?
- View more network posts →