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Discrete topologyTrivial topologyTopologyClosed setDiscrete setOpen coverSubspace topologyNeighborhoodCompactificationProfinite groupClosureOrbifoldInitial topologySubtopologyUnderlying setCofibrationStandard topologyFinal topologyDisjoint unionContinuum theoryTopological spaceAlexandrov topologyTychonoff cubeContinuous functionCycleTopological propertyDisjoint union topologyHomotopyProduct topologyTopological groupOpen setRelative topologyCauchy spaceCompact spaceHilbert cubeConeCofinalityConnected spaceLocally compact groupQuotient mapParacontactSimplicial complexDirect productGrothendieck topologyPathTopological fieldCohomologyCollectionNormal spaceCohomotopyRegular spaceCondensation pointLindelöf covering theoremClosed curveSequential compactnessConnected componentKolmogorov spaceSober spaceCoverGeneric propertyUniform spaceCactoidFibrationLindelöf spaceLimit pointLatticePretopologyBrouwer fixed-point theoremAlgebraic topologyHomeomorphismBaseBaire spaceHypercontinuumCofreenessToposMathematical spaceGraphAlgebraClosed loopContinuum hypothesisFinite geometryManifoldBoundaryDistance functionHausdorff spaceExact coverAntispaceDifferential topologyTopological vector spacePhase spacePoint-set topologyOtopyCompactumSolid torusElementary toposPoincaré spaceBasisK-theoryStone spaceAlgebraic poset