On diagonal completion of lattice-valued diagonal Cauchy spaces

被引:0
|
作者
Jaeger, Gunther [1 ]
机构
[1] Univ Appl Sci Stralsund, Sch Mech Engn, D-18435 Stralsund, Germany
关键词
L-Topology; L-Cauchy space; Diagonal condition; Completion; CONVERGENCE SPACES;
D O I
10.1016/j.fss.2014.05.013
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We define and study diagonal axioms for lattice-valued Cauchy spaces. A completion of a weakly diagonal lattice-valued Cauchy space is constructed, which is weakly diagonal and the coarsest among such completions. It is at the same time at least as fine as any weakly regular completion. (C) 2014 Elsevier B.V. All rights reserved.
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页码:18 / 30
页数:13
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