# Space

The set of all possible points; made up of infinite planes.

### Affine Space

A geometric structure that generalizes the affine properties of Euclidean space.

### Linear Space

A collection of vectors which means that the space is an additive Abelian group and, in addition, its elements can be multiplied by scalars.

### Metric Space

A space X is metric if there is defined a real non-negative function of two variables d(A, B).

### Topological Space

Every point has a collection of neighborhoods to which it belongs.

**See also: **Affine Space, Linear Space, Metric Space, Plane, Point, Topological Space.

**Subjects: ** Mathematics