Lattice-valued spaces: ⊤-Completions

被引：0
|
作者：
Reid L. [1 ]
Richardson G. [1 ]
机构：
[1] Department of Mathematics, University of Central Florida
来源：
Fuzzy Sets and Systems | 2020年 / 369卷
关键词：
Lattice-valued convergence; Topological; ⊤-Cauchy spaces; ⊤-completions; ⊤-uniform limit spaces;
D O I：
10.1016/j.fss.2018.06.003
中图分类号：
学科分类号：
摘要：
The concept of a ⊤-Convergence space has recently been introduced and studied. These spaces are related to the top level space of a lattice-valued convergence space. In order to consider completions, ⊤-Cauchy spaces are defined and investigated in the present work. Each ⊤-Cauchy space possesses a completion and, moreover, each topological ⊤-Cauchy space has a topological completion. Completions of ⊤-uniform limit spaces are also introduced. © 2018 Elsevier B.V.
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页码：1 / 19
页数：18
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