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Hom-setSmall categoryRepresentable functorFull functorMorphismConstant morphismFaithful functorMonomorphismDiscrete categoryOverfunctorUniversal morphismFunctorSieveYoneda lemmaIdentity morphismNatural isomorphismYoneda functorPushoutIsomorphismGroup objectFunctor categoryMonoidal categoryIdentity functorEquivalence of categoriesEpimorphismFormationGlobal elementInverse systemProjectionCoconstant morphismBimorphismHomomorphismSiteDiagonal morphismMonodromyToposSemigroup homomorphismZero morphismGeneralized elementFree categoryTwist morphismBalanced categorySplit monomorphismMulticategoryDirect systemContactomorphismGraphSetsSemigroupoidKernel pairPrestackIsogenyMonadGrothendieck topologyClassifying morphismSlice categoryWitt groupOrthomorphismAutomorphism groupAdjunctGroupoidSplit epimorphismCohomologyBilimitBimonoidalBicategorySchoberBijectionObjectSetoidCocategoryPresheafProfunctorDiagramEndomorphismPseudofunctorUnderlying functorMapping class groupCategoryKleisli categoryUniversal propertyInverseQuotient setContravariant functorRing isomorphismCountable setPregroupoidBicartesian closed categoryYoneda embeddingClassNatural numbers objectRegular mapElementary toposCartesian squareHolomorphyTricategoryHomotopyComma categoryHomotopEndofunctor