METRIC SPACE

Pronunciation (US):

(GB):

IPA (US):

 Dictionary entry overview: What does metric space mean? 

• METRIC SPACE (noun)
  The noun METRIC SPACE has 1 sense:

1. 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

  Familiarity information: METRIC SPACE used as a noun is very rare.

 Dictionary entry details 

• METRIC SPACE (noun)

Sense 1

Meaning:

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

Classified under:

Nouns denoting groupings of people or objects

Hypernyms ("metric space" is a kind of...):

mathematical space; topological space ((mathematics) any set of points that satisfy a set of postulates of some kind)

Hyponyms (each of the following is a kind of "metric space"):

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)