QRB, QFS, and stably compact, locally finitary spaces

From time to time, we happen to discover that several distinct notions are in fact the same, and this is exactly what happened in 2014, in two papers that appeared about at the same time, with similar discoveries. One is due to Jimmie Lawson and Xiaoyong Xi, the other one is due to Achim Jung and myself.  The theorem says that QRB-domains, QFS-domains, and stably compact, locally finitary spaces, are exactly the same thing.  The first arose in probabilistic domain theory.  See the full post.