Categories can be equivalent but non-isomorphic. For example, the category consisting of two isomorphic objects is equivalent to $\mathsf{pt}$, but not isomorphic to it.
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.
Categories can be equivalent but non-isomorphic. For example, the category consisting of two isomorphic objects is equivalent to $\mathsf{pt}$, but not isomorphic to it.