The so-called metric spaces play in the topology a prominent role. An underlying concept of these spaces is the concept of a distance or metric. It is more intuitive than concepts set-theoretic topology, however, it is not as general and therefore, not always applicable. A typical example of a metric space is the multidimensional space of real numbers $\mathbb R^n.$ Even more specialized metric spaces are normed metric spaces especially suitable to describe vector spaces.
