metric space

/ˌmɛtrɪk speɪs/

Definitions of metric space

1. noun

   a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
   types:

   Euclidean space

   a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional

   Hilbert space

   a metric space that is linear and complete and (usually) infinite-dimensional

   type of:

   mathematical space, topological space

   (mathematics) any set of points that satisfy a set of postulates of some kind