Insiemi limitati in spazi metrici

In this video, we discuss the notion of boundedness of sets in metric spaces. In the context of R, a bounded set was easy to define because there was an ordering relation, and therefore it was sufficient to define the existence of a larger and smaller value of the set. Unfortunately, however, a metric space, in general, is not ordered like R. However, it is still possible to construct a notion of bounded sets by defining the diameter of a set.