mathematical space

/ˌˈmæθ(ə)ˌˈmædəkəl speɪs/

Other forms: mathematical spaces

Definitions of mathematical space

1. noun

   (mathematics) any set of points that satisfy a set of postulates of some kind
   synonyms: topological space

   types:

   subspace

   a space that is contained within another space

   null space

   a space that contains no points; and empty space

   manifold

   a set of points such as those of a closed surface or an analogue in three or more dimensions

   metric space

   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

   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:

   infinite, space

   the unlimited expanse in which everything is located

   set

   (mathematics) an abstract collection of numbers or symbols