The equivalence of QRB, QFS, and compactness for quasicontinuous domains. (Q2351719)

The authors show that the notions of QRB domain, QFS domain and stably compact quasi-continuous domain all collapse. Here QRB and QFS domains generalize RB and FS domains to the setting of quasi-continuous domains. The result improves on preliminary work due to the second author. (They also state that it was independently obtained by Goubault-Larrecq and Jung in unpublished notes.) The basic tool for the presented investigation is the concept of the topological Smyth powerdomain.