We show that the first author’s QRB-domains coincide with Li and Xu’s QFS-domains, and also with Lawson-compact quasi-continuous dcpos, with stably-compact locally finitary compact spaces, with sober QFSspaces, and with sober QRB-spaces. The first three coincidences were discovered independently by Lawson and Xi. The equivalence with sober QFS-spaces is then applied to give a novel, direct proo...

We present two characterisations of FS domains, using the upper and the lower power domain construction, respectively. These characterisations have a common structure and thus can be generalised from the two power constructions to arbitrary premonads. The resulting classes of domains are considered in general, and some special instances are studied in greater detail. They form classes of domain...

Infinite dimensional complex analysis was a popular subject in the sixties and seventies, but in the last fifteen years enjoyed much less attention. Oddly enough, this very same period began to see the emergence of examples of infinite dimensional complex manifolds, in mathematical physics, representation theory, and geometry. Thus it appears to be a worthwhile undertaking to revisit infinite d...