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Grothendieck topologyClosed categoryAbelian categoryDerived categoryEnriched categoryCoequalizerClosed-subgroup theoremEquivariant cohomologyCategory theoryClass field theoryCartan decompositionRepresentable functorGroup cohomologyGroup extensionMapping class groupGalois cohomologyGeneral topologyCategory of topological spacesCohomologyExterior algebraQuotient categoryElementSimple homotopy theoryMonadTriangulated categoryConstructible universeKoszul complexF-coalgebraStickelberger's theoremHigher-dimensional algebraFundamental groupoidEquivalence of categoriesToposCellular homologyF-algebraProjective objectCalculus of constructionsCantor spaceComma categorySchur multiplierInitial and terminal objectsEuler classImageDiagramAlgebraic number theoryGroup schemeHomological algebraAlgebraic topologyExponential objectQuantum groupGeometric topologyHomotopy groupPontryagin classGalois connectionTopological k-theoryCategoryCompact-open topologyMonoidal categoryAlgebraic groupOrientifoldCategory of setsGraph homologyGalois groupCauchy surfaceFundamental groupSpectrumMaschke's theoremHurewicz theoremLarge cardinalSchwartz kernel theoremSerre dualityProfunctorLimitGroup theoryIndex setKernelCosmosGrothendieck groupSymplectomorphismLocal quantum field theoryMorphismType theoryGroupoidAdelic algebraic groupTopological quantum field theoryTychonoff spaceQuasi-categoryFirst-countable spaceBundle mapG-moduleKleinian groupFukaya categoryCommutative algebraDarboux's theoremAlgebraic graph theoryIntersection theoryDagger categoryNatural transformationGraph theoryHecke algebra