L-ENRICHED TOPOLOGICAL SYSTEMS|A COMMON FRAMEWORK OF L-TOPOLOGY AND L-FRAMES
L-ENRICHED TOPOLOGICAL SYSTEMS|A COMMON FRAMEWORK OF L-TOPOLOGY AND L-FRAMES
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DOI：
10.22111/ijfs.2014.1725
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发表时间：
2014-10
影响因子：
1.8
通讯作者：
Min Liu
中科院分区：
文献类型：
--
作者：
Min Liu
Employing the notions of the strong $L$-topology introduced by Zhangand the $L$-frame introduced by Yao and the concept of $L$-enrichedtopological system defined in the present paper, we constructadjunctions among the categories {bf St$L$-Top} of strong$L$-topological spaces, {bf S$L$-Loc} of strict $L$-locales and{bf $L$-EnTopSys} of $L$-enriched topological systems. All of theseconcepts are essentially based on the theory of $L$-enrichedcategories, thus we obtain a unified enriched-categorical version ofthe classical adjunctions among the categories {bf Top} oftopological spaces, {bf Loc} of locales and {bf TopSys} oftopological systems, as well as a unified enriched-categoricalapproach to treating these concepts.
