L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS

The concepts of L-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between  L-convex systems and Scott-hull spaces. Moreover, it is proved that the category of L-convex structures is  bireflective in the category of L-convex systems. Furthermore, the quotient systems of L-convex systems are studied.

کلیدواژه ها:

L-convex system ، Scott-hull space ، Induced L-convex structure ، Quotient system