On the reflective and coreflective subcategory of stratified L-Cech closure spaces

Qiao Junsheng

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On the reflective and coreflective subcategory of stratified L-Cech closure spaces

机译：关于分层L-Cech闭合空间的反射和核心反射子类别

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In this paper, it is shown that the category of Cech closure spaces can be embedded in the category of stratified L-Cech closure spaces as a coreflective full subcategory. Furthermore, if the underlying lattice of the complete residuated lattice Lis completely distributive, the embedding is also reflective. Finally, some related commutative diagrams are obtained. (c) 2019 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2020年第jul1期|105-117|共13页
作者
Qiao Junsheng;
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作者单位

Northwest Normal Univ Coll Math & Stat Lanzhou 730070 Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
L-Cech closure space; L-co-topological space; Concrete category; Galois correspondence;

机译：L-Cech闭合空间;L-共同拓扑空间;具体类别;Galois对应;

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1. Simultaneously reflective and coreflective full subconstructs of stratified L-topological spaces are concretely reflective and coreflective [J] . Dexue Zhang Fuzzy sets and systems . 2004,第3期

机译：分层L拓扑空间的同时反射和反折的全子结构是具体反射和反折的
2. Hereditary coreflective subcategories of the categories of tychonoff and zero-dimensional spaces [J] . ?in?ura J. Applied categorical structures . 2013,第6期

机译：tychonoff和零维空间类别的遗传性核心折衷子类别
3. Hereditary Coreflective Subcategories of Categories of Topological Spaces [J] . Juraj Cincura Applied categorical structures . 2005,第4期

机译：拓扑空间类别的遗传共折反射子类别
4. The factorization structure in the reflective subcategory [C] . CERBU OLGA International Conference on Computational and Information Science . 2009

机译：反射子类别中的分解结构
5. Optimization Closures for Mixing Shocks in Stratified Hydrostatic Flows [D] . Friel, Robert. 2017

机译：分层静水流中混合冲击的优化闭合
6. On the embedding of convex spaces in stratified L-convex spaces [O] . Qiu Jin, Lingqiang Li -1

机译：关于分层L-凸空间中凸空间的嵌入
7. Heredity and cartesian closed coreflective subcategories of the category of topological spaces [O] . Činčura Juraj 1996

机译：拓扑空间类别的遗传和笛卡尔封闭型核心折返子类别

On the reflective and coreflective subcategory of stratified L-Cech closure spaces

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