Characterizing Consistent Smyth Powerdomains by FS-∧↑-domains

In this paper, we introduce FS-∧↑-domains, and show that the category with FS-∧↑-domains as objects and Scott continuous functions as morphisms is a Cartesian closed category. Moreover, we characterize the consistent Smyth powerdomain over a Lawson compact domain by means of FS-∧↑-domain.