QUANTALE-VALUED GAUGE SPACES
نویسندگان
چکیده مقاله:
We introduce a quantale-valued generalization of approach spaces in terms of quantale-valued gauges. The resulting category is shown to be topological and to possess an initially dense object. Moreover we show that the category of quantale-valued approach spaces defined recently in terms of quantale-valued closures is a coreflective subcategory of our category and, for certain choices of the quantale, is even isomorphic to our category. Finally, the category of quantale-valued metric spaces is shown to be coreflectively embedded in our category.
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عنوان ژورنال
دوره 15 شماره 1
صفحات 103- 122
تاریخ انتشار 2018-03-01
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