%0 Journal Article
%T Tietze Extension Theorem on Additive Generalized Algebraic Lattice<br>可加广义代数格上的 Tietze 扩张定理
%A Chen Xueyou
%A Li Qingguo
%A Long Fei
%A Deng Zike
%A <br>陈学友
%A 李庆国
%A 龙飞
%A 邓自克
%J 数学物理学报(A辑)
%D 2007
%I 
%X 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.
%K Complete lattice
%K Additive property
%K Generalized algebraic lattice
%K Lower homo-morphism<br>完备格
%K 广义代数格
%K 可加性
%K 下同态
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=CE3A336F22B3A603&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=CA4FD0336C81A37A&sid=331211A5F5616413&eid=6270DC1B5693DDAF&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=14