| In this paper, projective limits of quasicontinuous lattices and generalized completely dis-tributive lattices are investigated. It is proved that the projective limit functor preserves theprojective limits in a corresponding way.The full thesis divides into three chapters.Chapter 1: We introduced brie?y the relevant marks and basic knowledge of continuous posetand limit, including some concepts and definitions which were used in the next chapters.Chapter 2: Projective limits of quasicontinuous lattices with continuous lattice homomor-phisms as morphisms are investigated. It is proved that the projective limit functor preserves theprojective limits of quasicontinuous lattices.Chapter 3: Projective limits of generalized completely distributive lattices with complete lat-tice homomorphisms as morphisms are investigated. It is proved that the projective limit functorpreserves the projective limits of generalized completely distributive lattices. |
