Is there a name for a topological space $X$ in which every proper closed subset is compact$^{(*)}$? It is well known that in a compact topological space, every closed set is compact. Hence, the class of compact spaces is contained in the class of spaces with $(*)$ property.
2026-04-24 18:57:36.1777057056
Is there a name for a topological space $X$ in which every proper closed subset is compact?
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