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Grothendieck topologyPresheafToposSiteSchoberCopresheafOverfunctorPregroupoidStackMorphism setOvercategorySieveSuperstackUnderlying functorGroup objectElementary toposRepresentable functorGroup functorFunctor categoryFull functorMonoidal categoryFibreSmall categoryProfinite groupFiberProjectionFiber bundleComma categoryBicartesian closed categoryInverse systemYoneda functorFunctorCoslice categorySlice categoryVector bundleCategoryCocompletionHom-setGrothendieck universeCartesian closed categoryYoneda lemmaDiagramPretopologyPseudofunctorPushoutConstant morphismDirect systemClassifying morphismSketchEpimorphismFundamental groupKleisli categoryCategorical dualCoconstant morphismYoneda embeddingFree categoryFormationCocategoryFaithful functorInitial objectCoconeMonomorphismContravariant functorOverconeMulticategoryEquivalence of categoriesIsogenyDiscrete categorySheafAdditive groupHomotopyFibrationDirect productIntersectionIdentity functorAdjunctionProfunctorHomomorphismGroup schemeBicategoryGlobal elementMonadDirect sumMorphismAllegoryGalois connectionFrobenioidPullbackSemigroupoidEndofunctorTricategoryUniversal morphismExponential objectBalanced categoryGraphNatural isomorphismCartesian squareCycle groupCohomologyPosheaf