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Topological vector spaceOperator algebraCompact operatorFunctional analysisSubspace topologyDual spaceReflexive spaceMeasurable functionPositive linear functionalExact coverField of setsCompact operator on hilbert spaceTangential and normal componentsOrder topologyAntiderivativeBanach algebraDisjoint unionHolomorphic vector bundleContinuous linear operatorBounded operatorCoproductDualComplement graphProjection-valued measureHomeomorphismProduct topologyBandBorel setSymmetric bilinear formTautological bundleLinear mapSeparable spaceL-infinityCompleteness axiomQuotient mapRelative homologyDual basisSubcategoryBarrelled spaceBilinear formLie bracket of vector fieldsSubbundleFunctional determinantTensor productBanach spaceFunction of a real variableDirect systemCategory of topological spacesProductBaseGraphGraph of a functionVector spaceHilbert projection theoremIsometry groupSubmanifoldDirected setSecond covariant derivativeGraded vector spaceGenerating set of a groupInverse systemCalculus on euclidean spaceBanach latticeStrong operator topologyLefschetz fixed-point theoremRelatively compact subspaceSelf-adjoint operatorGradientEquivariant cohomologyAdjoint representationLie algebra representationSymplectic vector spaceInclusion mapQuasiconvex functionInvariant subspaceSubfunctorClosed monoidal categoryDual systemComplexificationDirect sumSymmetric algebraIdentity morphismDomainCovering groupAutomorphic formOrthogonal complementConnectorFunctor categoryMaximal and minimal elementsFundamental groupOrthogonal groupInduced subgraphBranch cutProjectionSet functionTransversalityHermitian adjointComposition algebraAssociative algebraAlgebra over a field