Perfect set

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AlwaysBothBoundaryBoundedBounded.CantorClosedComplementConnectedConsideredContainContainsCountableDimensionalDisconnectedDisconnected.EmptyEveryExistFiniteFinite.HaveHigherInfiniteInteriorIsolatedLimitLimitedNonOneOpenPerfectPointPointsPoints.SetSet.SetsSomeSpacesSpaces.TheyThreeTwoUnboundedUncountableUncountable.WellWhereYes