What is "solid torus"

n. 1 (context topology English) The topological space that is a Cartesian product of the 2-dimensional disk and the circle. 2 (context mathematics English) The standard representation of that topological space within Euclidean 3-dimensional space.

In mathematics, a solid torus is the topological space formed by sweeping a disk around a circle. It is homeomorphic to the Cartesian product S × D of the disk and the circle, endowed with the product topology. A standard way to visualize a solid torus is as a toroid, embedded in 3-space. However, it should be distinguished from a torus, which has the same visual appearance: the torus is the two-dimensional space on the boundary of a toroid, while the solid torus includes also the interior space surrounded by the torus.