ABSTRACT
In order to understand the applicability of topology to hadron science, it is imperative to first comprehend the distinctions which differentiate it from its close cousin, geometry. Hence geometry education represents an early component of student education. In topology the most primitive object, a collection of points, is denominated a differential manifold. In order to define the simplest topological structure, a condition of smoothness is imposed on it, so as to ensure a modicum of continuity. These topological structures and transformations are independent of the concept of length or a metric. From the special theory of relativity and the general theory of relativity we have learned that the metric or length defines all that can be learned about the structure of the space-time. Invariants of the topology provide further basic information about the space-time structure. Thus topology plays an important part in the study of the structure of space-time.
