Hypernym

space 1

noun

the unlimited expanse in which everything is located

set 2

noun

(mathematics) an abstract collection of numbers or symbols

Domain_of_synset_-_TOPIC

mathematics 1

noun

a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

mathematical space 1

noundomain: group

Princeton WordNet [ver.3.1]

English

Definition

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

Examples

1.assume that the topological space is finite dimensional

Synonyms

topological space 1
(mathematics) any set of points that satisfy a set of postulates of some kind

Hyponym

subspace 1

noun

a space that is contained within another space

null space 1

noun

a space that contains no points; and empty space

manifold 3

noun

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

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

hyperplane 1

noun

a figure in hyperspace corresponding to a plane in ordinary space.

Member_of_this_domain_-_TOPIC

mathematics 1

noun

a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

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