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MetacompactParacompactCompactSupercompactPrecompactClopenDiscreteSecond-countableQuasi-compactσ-compactPath-connectedAngelicTopologicalTop-dimensionalArc-connectedMetrizableCocompactClosedUnicoherentDenseOpenPointedParacomplexPreregularLocalKolmogorovContractibleAposyndeticLower semi-continuous1-connectedPseudocompactHomotopicSemiregularSemitopologicalTopologizedMicrolocalUpper semi-continuousCompressibleSimply connectedWeakly contractibleHausdorffDense-in-itselfDisconnectedSeparableNullhomotopicPiecewise linearConvergentEquilogicalBornologicalAmenableParatopologicalQuasireflexiveHomotopicalContinuousLindelöfArcwise-connectedNulhomotopicParacompactifyingLocally finiteMeagreBitopologicalMeagerEssentialConvexSecond countableCompleteQuasitopologicalNull-homotopicLocally indicableMulticosimplicialδ-hyperbolicReduciblePerfectoidCoherentCocontinuousHyperconnectedStrongly connectedPolytopalAlgebraically closedUltralocalHakenSymplecticHyperreflexiveNonmanifoldTranslocalHomogeneousQuasi-transitiveSemi-transitiveSyntomicQuasilocalHyperbolikeWell-pointedQuasibarrelledLower semicontinuousCospatialSemi-completeCosymplecticRegular closedAntilocalHomeomorphous