/ English Dictionary

TOPOLOGICAL SPACE

Pronunciation (US):

(GB):

 I. (noun) 

Sense 1

Meaning:

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

Example:

assume that the topological space is finite dimensional

Synonyms:

mathematical space; topological space

Classified under:

Nouns denoting groupings of people or objects

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

infinite; space (the unlimited expanse in which everything is located)

set ((mathematics) an abstract collection of numbers or symbols)

Domain category:

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

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

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)

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