ON THE MACNEILLE COMPLETION OF THE CATEGORY OF PARTIALLY ORDERED TOPOLOGICAL-SPACES

被引：1
|
作者：
SCHAUERTE, A
机构：
[1] Department of Mathematics, University of Cape Town, Rondebosch
来源：
MATHEMATISCHE NACHRICHTEN | 1993年 / 163卷
关键词：
D O I：
10.1002/mana.19931630123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Preordered topological spaces for which the order has a closed graph form a topological category. Within this category we identify the MacNeille completions (coinciding with the universal initial completions) of live monotopological subcategories, namely those of the T0(T1, T2) preordered spaces and the (completely regular) partially ordered spaces. We also show that a functor due to L. NACHBIN from the quasi-uniform spaces to the preordered spaces preserves initial sources.
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页码：281 / 288
页数：8
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