A functor $F\colon \mathcal{C}\to \mathcal{D}$ is injective on objects if the action on objects
\[ F\colon \text{Obj}\webleft (\mathcal{C}\webright )\to \text{Obj}\webleft (\mathcal{D}\webright ) \]
of $F$ is injective.
Here's a breakdown of the differences between each PDF style:
| Style | Class | Font | Theorem Environments |
|---|---|---|---|
| Style 1 | book |
Alegreya Sans | tcbthm |
| Style 2 | book |
Alegreya Sans | amsthm |
| Style 3 | book |
Arno* | amsthm |
| Style 4 | book |
Computer Modern | amsthm |
*To be replaced with Linus Romer's Elemaints when it is released.
A functor $F\colon \mathcal{C}\to \mathcal{D}$ is injective on objects if the action on objects
of $F$ is injective.
