Why are equivalent categories not the same as isomorphic categories?
40793
What is the difference betwen equivalence and isomorphism of functors in categories.
64372
Do the isomorphism's of groups form an equivalence relation on the class of all groups?
55778
Group theoretic meaning of natural isomorphisms between certain functors
153291
Why a ring homomorphism from a local ring will not map a non-unit to a unit？
152354
Why is an empty set not a terminal object in categories $\mathsf{Top}$ and $\mathsf{Sets}$?
133348
Is isomorphism not always unique?
120811
What does "isomorphic" mean in linear algebra?
6385
Minimal counterexamples of the isomorphism problem for integral group rings
110110
Mitchell's Embedding Theorem for not-necessarily-small categories
60925
Why these are isomorphic each other for given these rings?
110808
Isomorphisms preserve cyclic
112125
In an extension field, is there any difference between the original field and its isomorphic copy in the extension field?
127826
Is the geometric realization of a pointed category contractible?
80787
2-morphisms for 2-category: don't understand how to draw
7010
Example of two non-isomorphic fields which embed inside each other
97662
Is Category Theory similar to Graph Theory?
46841
When is a graph isomorphic to the source?