The title basically says it all. I have a topological space $(X, \tau)$ where each $U \in \tau$ is (open cover-)compact (or quasi-compact, as they say in france). What do I call $\tau$?
2026-04-07 17:48:29.1775584109
What do you call a topology where every open set is compact?
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I found it. These are exactly the Noetherian spaces!
https://en.wikipedia.org/wiki/Noetherian_topological_space