As of writing, CatDat has 27 properties of functors, but there are many more which are well known and should be added at some point. See #18 for the analogous issue for properties of categories.
Duals of the following properties should also be added, but are not listed below.
| Property |
Done |
| fibration |
❌ |
| isofibration |
❌ |
| discrete fibration |
❌ |
| amnestic isofibration |
❌ |
| polynomial |
❌ |
| parametric right adjoint |
❌ |
| right multiadjoint |
❌ |
| pseudomonic |
❌ |
| exponentiable |
❌ |
| dominant |
❌ |
| dense |
❌ |
| final |
❌ |
| reflective |
❌ |
| creates limits |
❌ |
| of descent type |
❌ |
As of writing, CatDat has 27 properties of functors, but there are many more which are well known and should be added at some point. See #18 for the analogous issue for properties of categories.
Duals of the following properties should also be added, but are not listed below.