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CopresheafPosheafSieveSheafSchoberPrestackFaithful functorOverfunctorInverse systemFunctorFull functorPseudofunctorContravariant functorRepresentable functorProfunctorFunctor categoryFibreMorphismOverconeUnderlying functorContravarianceSlice categorySketchCofunctorMonoidal categoryDiagramProjectionIsogenyMorphism setDirect systemProfinite groupHomomorphismGroup functorCosheafPreradicalIsocrystalOvercategoryClassifying morphismEigensheafGrothendieck topologyCoconeQuotient mapKleisli categorySiteToposYoneda functorFibrationConstant morphismPseudovarietyCohomologySectionPullbackIdentity functorDiscrete categoryElementary toposMonadSmall categoryGraphTwist morphismFiberFree categoryFormationAdjointCosectionHom-setGerbePregroupoidInverseCategoryAlgebraic analysisCategory theoryEndofunctorUniversal morphismEqualizerCovering spaceLimitSemigroupoidHyperconifoldBifunctorIdentity morphismAdjunctCoconstant morphismIsomorphismSplit epimorphismPushoutEpimorphismInitial objectAdjoint functorCoequalizerComma categoryNatural isomorphismPrevarietyVector bundleMonomorphismBicartesian closed categoryCartesian squareDirect productIntersectionColimitDiagonal morphism