Characterizations of $L$-convex spaces
نویسندگان
چکیده مقاله:
In this paper, the concepts of $L$-concave structures, concave $L$-interior operators and concave $L$-neighborhood systems are introduced. It is shown that the category of $L$-concave spaces and the category of concave $L$-interior spaces are isomorphic, and they are both isomorphic to the category of concave $L$-neighborhood systems whenever $L$ is a completely distributive lattice. Also, it is proved that these categories are all isomorphic to the category of $L$-convex spaces whenever $L$ is a completely distributive lattice with an order-reversing involution operator.
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عنوان ژورنال
دوره 13 شماره 4
صفحات 51- 61
تاریخ انتشار 2016-08-30
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