query: An equivalence of categories that is not adjoint.
positive_passages.docid: 20030
positive_passages.text: Is an equivalence an adjunction?
negative_passages.docid: 111689
negative_passages.text: Surjective, but not injective endomorphism
negative_passages.docid: 153634
negative_passages.text: A statment about the equivalence between the Axiom of Choice and the surjectivity of the projections.
negative_passages.docid: 30597
negative_passages.text: Morphism that is not a mapping
negative_passages.docid: 47630
negative_passages.text: Endomorphisms of modules satisfying chain conditions and counterexamples.
negative_passages.docid: 54333
negative_passages.text: In categorical terms, why is there no canonical isomorphism from a finite dimensional vector space to its dual?
negative_passages.docid: 63574
negative_passages.text: small limits in the pointed category of a category with all small limits
negative_passages.docid: 135369
negative_passages.text: Equivalence between derived categories preserve distinguished triangles
negative_passages.docid: 116783
negative_passages.text: Simplicial sets which are not Kan complexes
negative_passages.docid: 23735
negative_passages.text: Divisible module which is not injective
negative_passages.docid: 147794
negative_passages.text: Applications of Category Theory Outside of Mathematics (the discipline)
negative_passages.docid: 17378
negative_passages.text: Characterize finite dimensional algebras without nilpotent elements
negative_passages.docid: 61373
negative_passages.text: A normal subgroup that is not a characteristic
negative_passages.docid: 106238
negative_passages.text: non-forking extension is equivalent to sameness of morley rank
negative_passages.docid: 80260
negative_passages.text: Can it happen that the image of a functor is not a category?
negative_passages.docid: 74162
negative_passages.text: Show intersection of two algebras are not a $\sigma$-algebra
negative_passages.docid: 87264
negative_passages.text: Are bicategories and lax 2-categories the same?