On the uniformization of lattice-valued frames

被引：0
|
作者：
Gutierrez Garcia, J. [1 ]
Mardones-Perez, I. [1 ]
Picado, J. [2 ]
de Prada Vicente, M. A. [1 ]
机构：
[1] Univ Pais Vasco Euskal Herriko Unibertsitatea, Dept Matemat, E-48080 Bilbao, Spain
[2] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal
来源：
FUZZY SETS AND SYSTEMS | 2011年 / 166卷 / 01期
关键词：
L-valued frame; L-topological space; Uniform L-valued frame; (Lowen) iota functors; Upper/lower forgetful functors; Complete category; Cocomplete category; CATEGORY THEORETIC ASPECTS; FUZZY TOPOLOGICAL-SPACES; CHAIN;
D O I：
10.1016/j.fss.2010.11.014
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this note we discuss the appropriate way of uniformizing the notion of a lattice-valued frame introduced by Pultr and Rodabaugh in 2003. We cover the case of a completely distributive lattice (which is, in a certain sense, the most general one) and study the corresponding category of uniform lattice-valued frames. In particular, we show that this is a complete and cocomplete category that extends in a nice manner the category of uniform frames, widely studied in the literature. (C) 2010 Elsevier B.V. All rights reserved.
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收藏
页码：90 / 100
页数：11
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