| Library / 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)
