Definition:Space


 * Cartesian Space
 * Vector Space
 * Topological Space
 * Hausdorff Space

A space in mathematics is a synonym for set, usually with some other additional properties that make it more useful for study.


 * Also see aggregate, which has a similar sort of connotation, but vaguer.

Intuitive
Space is a word used to mean ordinary space, that is, the universe we live in.

The intuitive belief is that space is 3-dimensional and therefore isomorphic to the real vector space $\R^3$.