A lot of universities do not have a pure math faculty. It can be good or bad, it depends on the goals of the university and which faculties it wants to specialize on.
If true this shocks me. Pure math makes up two of the seven liberal arts. The pure math department at my (US state) university had significantly higher status than the applied one, and this seemed to hold true for the other (also mostly state) universities my friends went to as well.
Community colleges and technical schools? Sure. Colleges? OK I guess, if they have a notable e.g. physics or engineering program and keep the pure math courses there for administrative reasons. A university without any pure math faculty? Then you're not a university anymore...