Nice separation axioms
Copyright policy )Nice separation axioms
First is shown that if \({\mathcal B}\) is an epireflective subcategory of all locales, and \({\mathcal B}\) is generated by a nice locale \(B\), then every \(A\in {\mathcal B}\) containing \(B\) as a retract is an Isbell locale (i.e., it is a regular cogenerator for a certain subcategory). Then the author uses the reviewer's procedure for finding generators of Herrlich's \(\kappa\)- compact spaces [Math. Z. 110, 123-126 (1969; Zbl 0175.496)] to describe generators of special regular \(\kappa\)-Lindelöf locales.
Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Noncompact covering properties (paracompact, Lindelöf, etc.), generator of reflective class, Categories of topological spaces and continuous mappings, Categorical methods in general topology, Lindelöf locale, locales, Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Noncompact covering properties (paracompact, Lindelöf, etc.), generator of reflective class, Categories of topological spaces and continuous mappings, Categorical methods in general topology, Lindelöf locale, locales, Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
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