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EqualizerCokernelKernelCofiberCoconstant morphismColimitAdjoint functorConstant morphismCocategoryExponential objectComma categoryCategorical dualFunctorDirect limitCoendEquivalence of categoriesPushoutCoconeSieveCopowerInitial objectIdentity functorIdentity morphismCategoryAutoequivalenceInverse systemNatural transformationInverse limitBicartesian closed categoryOverfunctorComparable functionFunctor categoryAdjunctSubset classifierKernel pairEquivalence classObjectContravarianceInverseBilimitElementary toposEquivalenceIntersectionCointersectionProfunctorPseudofunctorLimitIsomorphismNatural isomorphismCopresheafRepresentable functorMonoidal categoryCartesian squareCoidealDiagonal morphismField of quotientsCategorical productDiagramCoidentityEndofunctorProjectionAdjunctionTerminal objectAdjointCartesian closed categorySurjectionZero morphismCoproductSplit epimorphismEpimorphismImageDiscrete categoryCofunctorEqualitySlice categoryEquivalence relationCohomologyContravariant functorBiproductGlobal elementPresheafCoincidence pointUnitIsogenyDirect systemMorphismCoxeter-dynkin diagramCoareaIdentity functionCokerQuantaloidZero objectGalois connectionCovectorGeneralized elementUniversal morphismCoeventColineCoslice categoryEquioscillation