Answer
The objects shown in figure 15 (Pitcher) and 16 (Wrench) are topologically equivalent.
Work Step by Step
Topology is a modern branch of geometry in which shapes, unlike Euclidean geometry, are not rigid. In topology, shapes can be twisted, bent or stretched to form another shape. The objects are classified by the genus, which is the number of holes in the object.
It can also be said that the number of cuts that can be made in that object without rendering that object into two pieces is known as its genus. Objects having the same genus are referred to be topologically equivalent. In the given figures, a pitcher and a wrench have the same genus, that is, two. So, these objects are topologically equivalent.
