# Metric Space

A metric space is a set with a global distance function that for every two of the set's points gives the distance between them as a nonnegative real number.

Metric space is a college-level concept that would be first encountered in a topology course.

### Prerequisites

Metric: | A metric is a nonnegative function describing the distance between neighboring points for a given set. |

Vector Space: | A vector space is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space. |