A NOTE ON ALMOST UNIFORM NEARNESS FRAMES

被引：2
|
作者：
Dube, Themba [1 ]
Mugochi, Martin M. [2 ]
机构：
[1] Univ S Africa, Dept Math Sci, ZA-0003 Unisa, South Africa
[2] Univ Namibia, Dept Math, Windhoek, Namibia
来源：
QUAESTIONES MATHEMATICAE | 2011年 / 34卷 / 02期
关键词：
Nearness frame; almost uniform; uniformly normal; COMPLETION;
D O I：
10.2989/16073606.2011.594239
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the category of almost uniform nearness frames is coreflective in the category of all nearness frames with interpolative uniformly below relation. This we do by actually constructing the coreflection. The resulting functor commutes with the uniform coreflection functor. It also commutes with the totally bounded coreflection functor on the subcategory consisting of nearness frames with strong totally bounded coreflection, but not in general, as a counterexample attests.
引用
收藏
页码：247 / 263
页数：17
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