Nice separation axioms (Q1330909)

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.