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Yoneda functorYoneda embeddingAdjunctionMonoidal categoryRepresentable functorNatural isomorphismMorphism setEquivalence of categoriesFunctor categoryIdentity functorNatural transformationFaithful functorFunctorUnitFull functorMonomorphismHom-setContravariant functorPseudofunctorFormationAdjoint functorEndofunctorConstant morphismLeft inverseUniversal morphismMonadNatural numbers objectIsomorphismOverfunctorIdentity morphismUnderlying functorDiagramCartesian natural transformationRight inverseMorphismDiagonal morphismOvercategoryAdjointInverse systemGraphGlobal elementAbelianizationProfunctorPrestackSmall categoryKleisli categoryGroup objectProjectionEpimorphismCategorical dualIsogenyCoconstant morphismAdjunctCohomologyCoconeInverseWitt groupSurjectionCocompletionGroup functorCartesian closed categoryDiscrete categoryDirect productDirect systemSplit monomorphismBifunctorInitial objectAutoequivalenceZero morphismClassifying morphismSketchAnabelioidBimonoidalUniversal propertyFree categoryMonodromyCategoryDirect limitHomomorphismBijectionObjectTwist morphismGrothendieck topologyBicartesian closed categoryGeneralized elementComma categoryTraciatorBalanced categoryBilimitAllegoryContactomorphismInverse limitRelationBimorphismSplit epimorphismRing isomorphismEta conversionElementary toposOverconeMulticategory