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HandleHomology sphereManifoldBallSubtopologyDeformation retractUnderlying setAnnulusSubspace topologyContact manifoldStandard topologyTangent bundleTopologyRelative topologyBaseBundleOrbifoldHomotopyPseudomanifoldSolid torusMathematical spaceDifferential structureSubcombShellingTangent spaceOpen ballHyperellipseProduct topologyCurveHomogeneous spaceSuspensionDifferentiable manifoldSimplicial complexBispaceCombRiemann sphereSoulLie groupBoundaryDistributionTorusWorldsheetLaminationTopological propertyDifferential topologyFiber bundleHalfsphereOpen setClosed curveHilbert cubeWedge sumGlomeHausdorff spaceAtlasBoundary homomorphismComplementary regionTopological groupContact geometrySolvmanifoldNeighborhoodHyperboloidH-spaceCw complexExotic sphereCompactificationOpen coverFundamental groupHyperbolic planeCoverHypersurfaceDunce hatRegular spaceCircumsphereDisjoint unionEntourageClosed setFlatSubbasisPathCellEnvelopeAlgebraic topologyHerpolhodeSubbundle600-cellCohomologyCompact spaceSupermanifoldUniform spaceCofinite topology5-cellDistance functionPhase spaceBasisTrivial topologyCoordinate chartTopological spaceFaceDirect productNormal space