TOPOLOGICAL SPACE
(noun)Definitions
There is 1 meaning of the phrase
Topological Space.
Topological Space - as a noun
(mathematics) any set of points that satisfy a set of postulates of some kind
Example: "Assume that the topological space is finite dimensional"
Synonyms (Exact Relations)
mathematical spaceHypernyms (Closely Related)
infinitespacesetHyponyms (Broadly Related)
Example Sentences
"A topological space is a set together with a collection of open subsets."
"In mathematics, a topological space is a fundamental concept in topology."
"The notion of a topological space is used to define what it means for a set to be 'closely mapped' to another set."
"In the study of topological spaces, continuity is a key property."
"A topological space is said to be Hausdorff if any two distinct points have disjoint neighbourhoods."
