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Group cohomologyGalois cohomologyCohomologyMapping class groupFundamental groupFundamental groupoidGraph homologyCohomology ringInvariant theoryGroup actionHomotopy groupAlgebraic groupTopological propertyCategory of topological spacesHomological algebraSimple homotopy theoryRelative homologyAlgebraic topologyCovering groupGeometric group theoryGeometric topologyTopological groupSpectrumGrothendieck topologyCompact-open topologyHurewicz theoremSheaf cohomologyGeneral topologyAffine groupCartan decompositionCompact groupLinear algebraic groupIsometry groupInvariant manifoldAdjoint representationEuclidean groupDifferential invariantEuclidean topologyBorel setGalois groupToposSimplicial homologyIsogenyEquivariant mapHomomorphismOperator algebraEuler classTopological k-theoryCellular homologyHodge theoryBorel subgroupAlgebraic geometryClass field theoryDe rham cohomologyHomology groupMetrizable spaceHomogeneous spaceAlgebraic combinatoricsHomologyHomotopical connectivityCantor spaceGroupoidPushforwardHomotopyIntersection theoryHomotopy theoryGlobal analysisClassifying spaceClosed-subgroup theoremHomeomorphismRepresentation of a lie groupCommutator subgroupAssociated bundleToric varietyNoncommutative geometryDifferential topologyGeometric measure theoryChow groupGroup extensionAutomorphism groupAutomorphic formExcision theoremProjective linear groupK-theoryModuli of algebraic curvesLocally compact groupAlgebraic number theoryCosetGroup with operatorsFibrationAbelian varietyTransformation geometryTopological vector spaceConformal geometryGroup isomorphismTopological quantum field theoryCovariantAdelic algebraic groupMorse homologyAlgebraic torus