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EndobifunctorIdentity functorOverfunctorFunctorUnderlying functorPseudofunctorRepresentable functorMonadYoneda functorFunctor categoryFull functorOvercategoryFaithful functorProfunctorContravarianceEndofunctionBifunctorYoneda embeddingContravariant functorCoendEndomorphismConstant morphismCoconstant morphismForgetful functorUniversal morphismAdjoint functorMonoidal categoryMonomorphismAdjointAutoequivalenceYoneda lemmaGroup functorCofunctorNatural isomorphismElementary toposMorphism setEpimorphismComma categoryDiscrete categoryEquivalence of categoriesSplit epimorphismInitial objectDiagonal morphismUnitGlobal elementCategorical dualComonadZero morphismAnafunctorDirect limitFormationAdjunctInverseCopresheafProjectionIsomorphismDirect productCoequalizerSmall categoryAdjunctionHom-setCocategorySplit monomorphismOverconePresheafPushoutIdentity morphismZero objectTerminal objectCartesian closed categoryLeft inverseDiagramNatural transformationLimitDirect systemNull objectCoaugmentationCokernelPrestackKernelCocompletionInverse limitInverse systemBilimitKan extensionBicartesian closed categoryGrothendieck topologyToposIntersectionIdentityRight inverseColimitIsogenyPreradicalCartesian natural transformationSectionSiteKleisli categoryDirect sumFree category