Pointwise Quasi uniformities on Completely Distributive Lattices
Received:December 14, 1986  
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Yang Lecheng 西安公路学院 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.1988.02.006
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