Definition:Standard Affine Space

Definition

Let $n \geq 0$ be an integer.

Let $k$ be a field.

The standard affine space of dimension $n$ over $k$ is the vector space $k^n$ together with the standard affine structure.

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Also known as

Then, $k^n$ is denoted by $\map {\mathbb A^n} k$ or $\mathbb A^n _k$.

Also see

• Definition:Zariski Topology on Affine Space