semilattice; hyperspace monad
A functional representation of the hyperspace monad, based on the semilattice structure of function space, is constructed.
 Shapiro L.B.: On function extension operators and normal functors (in Russian). Vestnik Mosk. Univer. Ser.1 1 (1991), 243-251.
 Fedorchuk V.V., Filippov V.V.: General Topology. Fundamental Constructions (in Russian). Moscow (1988), 252.