A -space is a Tychonoff space with the property that every partition of the space (into arbitrary sets) has a point finite open expansion. M. Reed defined a set of reals with this property to be a -set and was motivated by the characterization of a -set as those sets of reals for which the Moore plane over is countably paracompact. Recently, Leiderman and Kąkol characterized -spaces as those for which the locally convex space is distinguished. I will survey some recent results concerning -spaces and mention a number of open problems.