$L$-enriched topological systems---a common framework of $L$-topology and $L$-frames
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Abstract:
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.
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Journal title
volume 11 issue 5
pages 93- 103
publication date 2014-10-30
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