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完全分配格上的点式拟一致结构与p.q.度量
引用本文:史福贵.完全分配格上的点式拟一致结构与p.q.度量[J].数学学报,1996,39(5):701-706.
作者姓名:史福贵
作者单位:烟台师范学院数学系
摘    要: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.

关 键 词:完全分配格,点式拟一致结构,点式拟一致连续,p.q.度量
收稿时间:1994-10-5
修稿时间:1996-1-2

Pointwise Quasi-Uniformities and Pseudo-Quasi-Metrics on Completely Distributive Lattices
Shi Fugui.Pointwise Quasi-Uniformities and Pseudo-Quasi-Metrics on Completely Distributive Lattices[J].Acta Mathematica Sinica,1996,39(5):701-706.
Authors:Shi Fugui
Institution:Shi Fugui(Deprtment of Mathematica,Yantai Teachers College,Yantai,264025 China)
Abstract: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.
Keywords:Completely distributive lattice  Pointwise quasi-ulliforwt Pointwise quasi-deform continuity  Pseudo-quasi-metric
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