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

نویسندگان

m. liu

چکیده

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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عنوان ژورنال:
iranian journal of fuzzy systems

ناشر: university of sistan and baluchestan

ISSN 1735-0654

دوره 11

شماره 5 2014

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