On the completion monad via the Yoneda embedding in quasi-uniform spaces

被引：9

作者：

Clementino, Maria Manuel ^{[1
]}

Hofmann, Dirk ^{[2
]}

机构：

[1] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

[2] Univ Aveiro, Dept Matemat, P-3810193 Aveiro, Portugal

来源：

TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 17期

关键词：

Prorelation; Promodule; Yoneda embedding; Quasi-uniform space; Cauchy complete quasi-uniform space; Cauchy completion; TOPOLOGY;

D O I：

10.1016/j.topol.2011.01.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Making use of the presentation of quasi-uniform spaces as generalised enriched categories, and employing in particular the calculus of modules, we define the Yoneda embedding, prove a (weak) Yoneda Lemma, and apply them to describe the Cauchy completion monad for quasi-uniform spaces. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2423 / 2430

页数：8

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