Abstract:

The direct limits in the category of closed-set lattices—the category of closed-set lattices and mappings which preserves arbitrary unions and nonzero co-prime elements is  studied. By the way of closed-setlatticefies of joinsemilattice, the structure of direct limits in the category of closed-set lattices is given on the certain condition.

Key words: the category of closed-set lattices; closed-set-latticefies; direct limits