Enriched lower separation axioms and the principle of enriched continuous extension 

被引：1
|
作者：
Arrieta, Igor [1 ,2 ]
Gutierrez Garcia, Javier [2 ]
Hoehle, Ulrich [3 ]
机构：
[1] Univ Birmingham, Sch Comp Sci, Birmingham B15 2TT, England
[2] Univ Pais Vasco UPV EHU, Dept Matemat, Bilbao 48080, Spain
[3] Berg Univ Wuppertal, Inst Mat Wissensch, D-42097 Wuppertal, Germany
来源：
FUZZY SETS AND SYSTEMS | 2023年 / 468卷
关键词：
Unital quantale; Modules in Sup; Quantale-enriched topological space; Closed presheaves; Lower separation axioms; Convergence of quantale-enriched filters; Extension by quantale-enriched continuity;
D O I：
10.1016/j.fss.2023.108633
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper presents a version of the lower separation axioms and the principle of enriched continuous extension for quantaleenriched topological spaces. As a remarkable result, among other things, we point out that in the case of commutative Girard quantales the principle of continuous extension holds for projective modules in Sup. & COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
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页数：29
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