کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777793 1633049 2017 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The upper topology and interval topology on quasi-hypercontinuous posets
ترجمه فارسی عنوان
توپولوژی و توپولوژی بازه بالایی بر روی پست های شبه غیر متناوب
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی
In this paper, we consider a common generalization of both hypercontinuous posets and s2-quasicontinuous posets, and introduce a new concept of quasi-hypercontinuous posets. The main results are: (1) A poset is a quasi-hypercontinuous poset iff the upper topology is a hypercontinuous lattice iff the S⁎-convergence is topological with respect to the upper topology; (2) For a quasi-hypercontinuous poset, the quasi-liminf convergence is topological with respect to the interval topology; (3) The interval topology on a quasi-hypercontinuous poset is Tychonoff; (4) A lattice is quasi-hypercontinuous as a poset iff its normal completion is a quasi-hypercontinuous lattice.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 230, 1 October 2017, Pages 539-549
نویسندگان
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