Tietze Extension Theorem on Additive Generalized Algebraic Lattice
可加广义代数格上的 Tietze 扩张定理

The category of additive generalized algebraic lattices with lower homomorphisms is equivalent to the category of T0-topological spaces with continuous mappings (11]). Follow the view, in this paper, using the generalized way below relation, the greatest system of subsets (11]) and the lower homomorphisms (12]) as tools, the notion of normal is defined, and Urysohn Lemma, Tietze extension theorem are constructed.