Definition:Space

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

See:


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

Intuitive
Space is a word used to mean the universe we live in.

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