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Coconstant morphismConstant morphismZero objectMonomorphismIdentity morphismUniversal morphismBimorphismIsomorphismDiscrete categoryInverseDiagonal morphismCokernelNatural isomorphismIdentity functorSmall categoryEpimorphismNull objectTwist morphismObjectOverfunctorKernelGlobal elementEquivalence of categoriesMorphismSplit epimorphismAdjunctSplit monomorphismFunctor categoryProjectionFull functorMorphism setFunctorKernel pairClassifying morphismGeneralized elementUniversal propertyContravariant functorFaithful functorMulticategoryBalanced categoryOrthomorphismPseudofunctorHom-setMonodromyFree categoryInitial objectDirect productIsogenyGroup objectMonadInverse systemMonoidal categoryBiproductGraphPushoutFormationZero divisorNatural transformationRegular mapSlice categoryAutomorphismZero tensorContactomorphismNatural numbers objectSieveRight inverseComorphismCycleEqualizerLeft inverseZeroInverse limitBijectionCodingCocategoryAdjoint functorEndofunctorComma categoryTerminal objectAutoequivalenceDiagramColimitFiberCategorical dualZero matrixMinimal idealContravarianceSemigroupoidComonadBicartesian closed categoryFibreAdjunctionRing isomorphismPregroupoidAbstract nonsenseYoneda functorApomorphismNullformDirect limitDirect system