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Diagonal morphismCategoryNatural transformationInitial and terminal objectsMonadMonoidFormationMorphismClosed categoryEnriched categoryObjectFunctor categoryGrothendieck topologyDerived categoryDiagramElementIdentity functorClosed monoidal categorySubcategoryYoneda embeddingModel categoryImageEquivalence of categoriesRepresentable functorCategory theoryCategory of small categoriesFunctorString diagramTriangulated categoryCategorificationProduct categoryIdentity morphismAllegoryAdjoint functorsLimitCoequalizerF-coalgebraGroup schemeOutline of category theoryAbelian categorySlice categorySieveProductCoproductSubfunctorInitial objectQuasi-categorySubobjectPullbackSubobject classifierMonoidal categoryFree categoryHigher-dimensional algebraUnitQuotient categoryGroup cohomologyInvariant theoryToposCartan decompositionDualInverse systemDirect productDirected graphMonoidal functorAlgebraic data typeDiscrete categoryCatamorphismConcrete categoryFaithful functorHomological algebraNerveC*-algebraCategory of topological spacesSmall categoryHigher category theoryHodge structureDirect systemCategory of setsInjectionUniversal propertyCohomologyFull functorCharacter tableSectionConstructible universeHom-setMatroidInner automorphismBundle mapEquivariant cohomologyType theoryTerminal objectIsogenySymmetric monoidal categoryNormal subgroupIntersection theoryProjectionInvariant manifoldComma categoryInduced path