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 9 years, 3 months
16 profile views
Last seen May 23 '20 at 11:24
- Mathematics 6.8k 6.8k 11 gold badge2020 silver badges6565 bronze badges
- Computer Science 5.2k 5.2k 2121 silver badges5858 bronze badges
- Philosophy 3.9k 3.9k 1919 silver badges3737 bronze badges
- Theoretical Computer Science 3k 3k 1515 silver badges4343 bronze badges
- MathOverflow 2.4k 2.4k 1717 silver badges3535 bronze badges
- View network profile
Top network posts
- 50 What are some very important papers published in non-top journals?
- 32 How did first-order logic come to be the dominant formal logic?
- 30 Proof refutation: Amateur reviews of ambitious CoRR papers
- 28 On mathematical arguments against Quantum computing
- 23 Mathematical research interrupted by a war
- 20 Why is it worth spending time on type theory?
- 20 Is anyone aware of a counter-example to the Dharwadker-Tevet Graph Isomorphism algorithm?
- View more network posts →