mathematical space vs topological space

mathematical space and topological space both are nouns.

Word	Noun	Adjective	Verb	Adverb
mathematical space	Yes	No	No	No
topological space	Yes	No	No	No

As nouns, mathematical space and topological space are synonyms defined as:

mathematical space and topological space: (mathematics) any set of points that satisfy a set of postulates of some kind

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