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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Sichuan Univ, Coll Elect & Informat Engn, Chengdu 610064, Sichuan, Peoples R ChinaSichuan Univ, Coll Elect & Informat Engn, Chengdu 610064, Sichuan, Peoples R China
Tang, Juan
Fang, Yong
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Sichuan Univ, Coll Elect & Informat Engn, Chengdu 610064, Sichuan, Peoples R ChinaSichuan Univ, Coll Elect & Informat Engn, Chengdu 610064, Sichuan, Peoples R China
Fang, Yong
Tang, Jian-Gang
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Yili Normal Univ, Coll Math & Stat, Yining 835000, Xinjiang, Peoples R ChinaSichuan Univ, Coll Elect & Informat Engn, Chengdu 610064, Sichuan, Peoples R China