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.

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Subjects: Mathematics