| 完全分配格上的点式拟一致结构与p．q．度量 |
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| 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. DOI: cnki:ISSN:05831431.0.1996-05-017 |
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| 作者姓名： | 史福贵 |
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| 作者单位： | 烟台师范学院数学系 |
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| 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．
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| 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： | 1994-10-05 |
| 修稿时间： | 1996-01-02 |
Pointwise Quasi-Uniformities and Pseudo-Quasi-Metrics on Completely Distributive Lattices |
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| Shi Fugui. Pointwise Quasi-Uniformities and Pseudo-Quasi-Metrics on Completely Distributive Lattices[J]. Acta Mathematica Sinica, 1996, 39(5): 701-706. DOI: cnki:ISSN:05831431.0.1996-05-017 |
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| Authors: | Shi Fugui |
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| Affiliation: | Shi Fugui(Deprtment of Mathematica,Yantai Teachers College,Yantai,264025 China) |
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| 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. |
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| Keywords: | Completely distributive lattice Pointwise quasi-ulliforwt Pointwise quasi-deform continuity Pseudo-quasi-metric |
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