CW-complex, Hausdorff space, second-countable space, sober space
connected space, locally connected space, contractible space, locally contractible space
An (open) annulus is a topological space that is homeomorphic to the disk with an interior point removed: .
An often used model for the corresponding closed annulus is the subspace , of the plane consisting of the point lying between a unit circle and a circle of radius 2, both centred on the origin.