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Universal morphismIdentity morphismIdentity functorMorphismMonomorphismConstant morphismNatural numbers objectFunctorCoconstant morphismFunctor categoryFull functorPseudofunctorZero morphismProfunctorGlobal elementAutoequivalenceIsomorphismUnitGroup objectClassifying morphismFaithful functorNatural transformationMulticategoryGeneric propertyComorphismNatural isomorphismEquivalence of categoriesInjectivityMonoidal categoryDiagonal morphismPluperfectionAutomorphismGroup functorObjectUniversal algebraGeneralized elementMorphism setUnityUniform continuityRepresentable functorTopological propertyAutomorphyInitial objectDiscrete categoryCategoryHomomorphismAdjunctionOverfunctorEpimorphismSmall categoryCohomologyInverse systemHom-setExponential objectFree categoryCodualityDirect productContravariant functorFive lemmaKernelDiagramCounitMonodromyInverseCodingAlgebraic structureAdjunctCocompletionProjectionUniversal quantifierEqualizerIdentityComma categoryPolymorphismUnderlying functorAutomorphism groupIdentity functionOrthomorphismQuotient mapAdjoint functorYoneda functorBifunctorDirect systemSemigroup homomorphismSieveRing homomorphismUniform spaceCategorical dualAntiautomorphismBimorphismTerminal objectCokernelLeft inverseZero objectFunctionGraphBijectionAutodualityRight inverseFibre