Definition:Noetherian Topological Space/Definition 3
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Definition
A topological space $T = \struct {S, \tau}$ is Noetherian if and only if each non-empty set of closed sets has a minimal element with respect to the subset relation.
Also see
Sources
- 1977: Robin Hartshorne: Algebraic Geometry Exercise $\text {I}.1.7 \paren a$