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:

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 $\mathbb{R}^3$.