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Category of setsRelationQuotient categoryEquivalence relationSmall categoryRepresentable functorAllegoryHom-setSemigroupMorphismHom functorBinary relationGroupoidClosed categoryDiscrete categoryReflexive relationSectionAlgebra homomorphismSet theoryMonoidal categoryCategory of topological spacesCategorySymplectomorphismFunctorEndomorphismBundle mapMulticategoryMonoidMonoidal functorEquivalence of categoriesPartial orderAsymmetric relationSetoidInitial and terminal objectsImageTransitive closureNatural isomorphismPreorderIndex setMonomorphismSubcategoryFunction spaceConcrete categoryElementary toposCardinalityStructureGraph theoryAutomorphismComparison of topologiesCategorificationBalanced categoryDiffeomorphismQuotient setDistributive propertyDiagramPower setCongruence classGrothendieck topologyCategory of small categoriesHomogeneous relationProfunctorObjectSemigroupoidProjectionSet-builder notationHomological algebraDiagonal morphismMetrizable spaceGeneral topologyTransitive relationClosed setZero morphismSimplicial setComma categoryHomotopy groupGeometrySubsetUnionKleisli categoryHierarchyProjective objectF-algebraGlobal elementElementCategory of modulesCellular homologyEnriched categoryMatrix ringBimorphismCompact-open topologyCountable setRelation algebraOpen setSystem of differential equationsCotangent complexEuclidean groupMapping class groupEuler classIdentity functorSubgroupoid