A cup with one handle, for instance, is topologically equivalent to a doughnut.

The result is topologically equivalent to that of the geometric operation, but the parts have arbitrary shape and size.

He also proved that a Riemann surface is topologically equivalent to a box with holes in it.

This is topologically equivalent to playing on the surface of a cylinder.

It is not so obvious that this is topologically equivalent.

All vertices are topologically equivalent, as can be seen from the tessellation of the plane that uses the above diagram.

The equivalence class of topologically equivalent drawings on the sphere is called a planar map.

An open string, on the other hand, has two end-points and is topologically equivalent to a line interval.

It is topologically equivalent to the regular polytope penteract in 5-space.

The sealed bag is topologically equivalent to a 2-sphere, as is the surface of the ball.