It looks like you're new here. If you want to get involved, click one of these buttons!

- All Categories 2.2K
- Applied Category Theory Course 353
- Applied Category Theory Seminar 4
- Exercises 149
- Discussion Groups 49
- How to Use MathJax 15
- Chat 480
- Azimuth Code Project 108
- News and Information 145
- Azimuth Blog 149
- Azimuth Forum 29
- Azimuth Project 189
- - Strategy 108
- - Conventions and Policies 21
- - Questions 43
- Azimuth Wiki 711
- - Latest Changes 701
- - - Action 14
- - - Biodiversity 8
- - - Books 2
- - - Carbon 9
- - - Computational methods 38
- - - Climate 53
- - - Earth science 23
- - - Ecology 43
- - - Energy 29
- - - Experiments 30
- - - Geoengineering 0
- - - Mathematical methods 69
- - - Meta 9
- - - Methodology 16
- - - Natural resources 7
- - - Oceans 4
- - - Organizations 34
- - - People 6
- - - Publishing 4
- - - Reports 3
- - - Software 21
- - - Statistical methods 2
- - - Sustainability 4
- - - Things to do 2
- - - Visualisation 1
- General 39

Options

In writing these proofs, I found it quite convenient to have given names to the 1-hop, 2-hop etc. formulas in my earlier posts.

References to earlier posts: 1-hop constraint, 2-hop inequality, 3-hop equivalence, 4-hop fixed point.

## Comments

`![picture](https://i.imgur.com/1eoPGy4.png)`

I think most of this can be generalized to adjoint functors.

`I think most of this can be generalized to adjoint functors.`

Hi Christopher, thanks for the note. I'm just getting to Chapter 3 now, so I look forward to learning how all this stuff fits into the larger scheme of things!

`Hi Christopher, thanks for the note. I'm just getting to Chapter 3 now, so I look forward to learning how all this stuff fits into the larger scheme of things!`