A duality of generalized metric spaces

被引：4
|
作者：
Antoniuk, Sylwia [1 ]
Waszkiewicz, Pawel [1 ]
机构：
[1] Jagiellonian Univ, PL-30348 Krakow, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 17期
关键词：
Lawson duality; Generalized metric space; Continuous dcpo; Way-below; TOPOLOGY; COMPLETION;
D O I：
10.1016/j.topol.2011.04.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop a duality theory for Lawvere's generalized metric spaces that extends the Lawson duality for continuous dcpos and open filter reflecting maps: we prove that the category of relatively cocomplete and continuous vertical bar 0, infinity vertical bar-categories considered with open filter reflecting maps is self-dual. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：2371 / 2381
页数：11
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