The space Rn can be endowed with this property by adding a point at   in nity.
If a Lie group has this property, every representation of it is equivalent to a unitary representation; Lie groups have this property if their parameters vary over a closed interval. The space Rn can be endowed with this property by adding a point at   in nity. The Hilbert cube has this property by Tychono 's theorem, which states that this property is productive, that is, the product of any number of objects with this property also has this property. Any  nite space has this property. If a space is Hausdor , then any set in that space with this property is closed. For ten points, identify this property held by a set if every covering of it with open sets has a  nite subcover.
If a Lie group has this property, every representation of it is equivalent to a unitary representation; Lie groups have this property if their parameters vary over a closed interval.
compactness