The Stacks project

Lemma 10.105.2. A ring $R$ is catenary if and only if the topological space $\mathop{\mathrm{Spec}}(R)$ is catenary (see Topology, Definition 5.11.4).

Proof. Immediate from the definition and the characterization of irreducible closed subsets in Lemma 10.26.1. $\square$


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