کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
389204 | 661109 | 2015 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lattice-valued preordered sets as lattice-valued topological systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Lattice-valued preordered sets as lattice-valued topological systems Lattice-valued preordered sets as lattice-valued topological systems](/preview/png/389204.png)
چکیده انگلیسی
This paper provides variable-basis lattice-valued analogues of the well-known results that the construct Prost of preordered sets, firstly, is concretely isomorphic to a full concretely coreflective subcategory of the category Top of topological spaces (which employs the concept of the dual of the specialization preorder), and, secondly, is (non-concretely) isomorphic to a full coreflective subcategory of the category TopSys of topological systems of S. Vickers (which employs the spatialization procedure for topological systems). Dualizing these results, one arrives at the similar properties of quasi-pseudo-metric spaces built over locales.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 259, 15 January 2015, Pages 89–110
Journal: Fuzzy Sets and Systems - Volume 259, 15 January 2015, Pages 89–110
نویسندگان
Jeffrey T. Denniston, Austin Melton, Stephen E. Rodabaugh, Sergey A. Solovyov,