space - the unlimited expanse in which everything is located; "they tested his ability to locate objects in space"

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

set - (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite"

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 and 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