| 杨乐成.完全分配格上的点式拟一致结构[J].数学研究及应用,1988,8(2):187~194 |
| 完全分配格上的点式拟一致结构 |
| Pointwise Quasi uniformities on Completely Distributive Lattices |
| 投稿时间：1986-12-14 |
| DOI：10.3770/j.issn:1000-341X.1988.02.006 |
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| In this paper we introduced a new theory of pointwise quasi-uniformities on completely distributive lattices. We prove theorems corresponding to many of the usual theorems. In particular we show every topological moiecullar lat-tice is quasi - uniformitizable and every quasi-uniformly contiuous GOH is conti-uous. We also show that' for every quasi uniformity u, there is the finest quasi-uniformity in [u], where [u]={φ:φ has the same induced COT topology as u},and wealso give the structure of the finest quasi-uniformity. |
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