Z-algebraic Lattices and Z-algebraic Intersection Structures;
Z-代数格和Z-代数交结构
Mapping Properties of Semicontinuous Lattices and Semialgebraic Lattices;
半连续格和半代数格的映射性质
Content: In this paper, we study some mapping properties of semicontinuous lattices and semialgebraic lattices, discuss a function space of strongly continuous lattices and give an embedding theorem of strongly continuous lattices.
本文研究了半连续格及半代数格上一些映射性质,讨论了强连续格的函数空间,给出了强连续格的嵌入定理;然后引入了半Scott拓扑与半Lawson拓扑,并讨论了半连续格和强连续格上这两种拓扑的若干性质。