 In this case, for example, the line segment possesses infinitely many points, and therefore cannot be put into a bijection with a set containing only a finite number of points, including a single point.This characterization of a homeomorphism often leads to a confusion with the concept of homotopy, which is actually "defined" as a continuous deformation, but from one "function" to another, rather than one space to another.In the case of a homeomorphism, envisioning a continuous deformation is a mental tool for keeping track of which points on space "X" correspond to which points on "Y"—one just follows them as "X" deforms.