Enriched lower separation axioms and the principle of enriched continuous extension

被引：2

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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