Topology on k^n (or on Spec R) whose closed sets are exactly the zero-loci V(I) of ideals I ⊆ k[x₁,…,x_n]. Coarser than any metric topology on k^n: every non-empty open set is dense, and the topology is Noetherian (every descending chain…
Topology on k^n (or on Spec R) whose closed sets are exactly the zero-loci V(I) of ideals I ⊆ k[x₁,…,x_n]. Coarser than any metric topology on k^n: every non-empty open set is dense, and the topology is Noetherian (every descending chain…