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Constant morphismIdentity morphismTwist morphismIsomorphismUniversal morphismIdentity functorMonomorphismDirect productProjectionCoconstant morphismMorphismBimorphismDiscrete categoryDiagramClassifying morphismInverseObjectFunctor categoryGroup objectEpimorphismAdjunctGraphFunctorZero morphismGlobal elementSlice categoryFree categoryNatural isomorphismSplit monomorphismMonoidal categoryKernel pairSmall categoryNatural transformationCategorical dualHom-setOverfunctorFaithful functorSplit epimorphismLeft inverseFull functorFibreRight inverseMonodromyGeneralized elementPullbackOverconeMorphism setContravariant functorIsogenyInverse systemAdjoint functorDirect systemEquivalence of categoriesMonadSieveInitial objectCoconeAdjunctionCokernelFiberComorphismPushoutUnitYoneda functorMulticategoryCartesian natural transformationCategoryAutomorphismFormationBiproductUniversal propertyEqualizerBalanced categoryGroup functorBicartesian closed categoryContactomorphismIntersectionRegular mapAutoequivalenceHomomorphismAdjointCartesian closed categoryOrthomorphismYoneda lemmaCorrelationWitt groupEndofunctorEndomorphismKernelColimitCocategoryComma categoryBimonoidalTerminal objectCohomologyAutomorphism groupExponential objectCosectionSemigroupoidGrothendieck topology