$L$-enriched topological systems---a common framework of $L$-topology and $L$-frames

Employing the notions of the strong $L$-topology introduced by Zhang and the $L$-frame introduced by Yao and the concept of $L$-enriched topological system defined in the present paper, we construct adjunctions 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 these concepts are essentially based on the theory of $L$-enriched categories, thus we obtain a unified enriched-categorical version of the classical adjunctions among the categories {\bf Top} of topological spaces, {\bf Loc} of locales and {\bf TopSys} of topological systems, as well as a unified enriched-categorical approach to treating these concepts.