拓扑∧弱完全分配格的完备化与连续映象

The Completion and Continuous Mapping in the Topologicaf ∧ Weak Complete Distributive Lattice

保持存在的无穷并的格的并同态称作可备的。本文在作者的∧弱完全分配格的可备并同态扩张定理的基础上,给出了拓扑∧完全分配格的完备化与连续映象的定义与若干基本定理。

The join-homomorphism of the lattice is said to be completible iff all infinite joins are preserved when it exists. This paper gives the definitions and some fundamental theorems on the completion and continuous mapping in the topological ∧ weak complete distributive lattice.