Are equivalence of triangulated categories exact?
135369
Equivalence between derived categories preserve distinguished triangles
78211
Equivalence of categories preserves cartesian closedness
127826
Is the geometric realization of a pointed category contractible?
66548
proving topological equivalence
140503
What properties do natural isomorphisms between functors preserve?
80787
2-morphisms for 2-category: don't understand how to draw
6904
questions about extremal epimorphisms in category theory
2871
Spaces with equal homotopy groups but different homology groups?
83744
is there a property of a category that is preserved by category isomorphism, but not equivalence?
81423
Completeness and Topological Equivalence
46841
When is a graph isomorphic to the source?
43863
Question about left exactness of the section functor for sheaves
23156
Homotopy equivalence from torus minus a point to a figure-eight.
123242
Half exact functor which is neither right exact nor left exact
70797
Why doesn't the definition of a category require an explicit notion of morphisms equality?
89501
Equidecomposability of a Cube into 6 Trirectangular Tetrahedra
112906
Categories of mathematics