完全分配格上的点式拟一致结构与p．q．度量

Pointwise Quasi-Uniformities and Pseudo-Quasi-Metrics on Completely Distributive Lattices

在完全分配格上建立了点式拟一致结构理论．讨论了诱导拓扑分子格中闭包，局部基，连续等性质．证明了每个拓扑分子格皆可点式拟一致化．另外借助纯距离函数与真正的远域映射族给出了［８］中ｐ．ｑ．度量的等价定义与刻画，得到了点式拟一致分子格的ｐ．ｑ．度量化定理．

In this paper j a new theory on poilitwise quasi-uniformity is based on completelydistributive lattices.Properties of closure,locally basis, continuity etc.are discussed in inducedtopological molecular lattices. EaCh tOPological molecular lattice can be induced by a pot￣isequasi-whfondty.Moreover,an equldsnt definition and a characterization of pseudDequasimetric in [8]are given.P seudth quas i- metrization theorem is obt anied.