Definition:Zariski Topology/Affine Space

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Let $k$ be a field.

Let $\mathbb A^n \left({k}\right) = k^n$ denote the standard affine space of dimension $n$ over $k$.

The Zariski topology on $\mathbb A^n \left({k}\right)$ is the topology on the direct product $k^n$ whose closed sets are the affine algebraic sets in $\mathbb A^n \left({k}\right)$.

Also see

  • Results about Zariski topology can be found here.

Source of Name

This entry was named for Oscar Zariski.