کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9516902 1633121 2005 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gap functionals, proximities and hyperspace compactification
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Gap functionals, proximities and hyperspace compactification
چکیده انگلیسی
The aim of this paper is twofold: first we investigate the role of proximity notions in the framework of approach theory [R. Lowen, Approach Spaces. The Missing Link in the Topology-Uniformity-Metric Triad, Clarendon Press, Oxford, 1997] and show how quantified proximity structures can be used to obtain a canonical intrinsic version of the Smirnov compactification in this setting. Second we introduce a hyperspace structure which commutes with this type of Smirnov compactification, solving a 'dual' problem to the one treated concerning approach completion in [R. Lowen, M. Sioen, Proximal hypertopologies revisited, Set-Valued Anal. 6 (1998) 1-19].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issues 5–6, 1 December 2005, Pages 924-940
نویسندگان
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