  It is introduced the concept of a quasi-king space, which is a natural
generalisation of a king space. In the realm of suborderable spaces, king
spaces are precisely the compact spaces, so are the quasi-king spaces. In
contrast, quasi-king spaces are more flexible in handling coarser selection
topologies. The main purpose of this paper is to show that a weakly orderable
space is quasi-king if and only if all of its coarser selection topologies are
compact.
