Mathematical Space (Noun)
Meaning
(mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional".
Classification
Nouns denoting groupings of people or objects.
Examples
- A Euclidean space is a fundamental example of a mathematical space that has a metric and satisfies Euclid's five postulates.
- In mathematics, any set of points that satisfies a set of postulates of some kind is called a mathematical space.
- A topological space is a mathematical space in which every set is the union of a collection of open sets.
- Assume that the topological space is finite dimensional and that the submanifolds are as smooth as necessary.
- Metrics spaces are mathematical spaces with a different form of symmetry than Euclidean space.