کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661049 | 1344397 | 2008 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On linear neighborhood assignments and dually discrete spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
In this note, the concept of a linear neighborhood assignment is introduced. By discussing properties of linear D-spaces, we show that if T is a Suslin tree with FW (or CW) topology, then T is a Lindelöf D-space. We also show that if X is a countably compact space and , where for any linear neighborhood assignment ϕn for Xn, there exists a strong DC-like subspace (or a subparacompact C-scattered closed subspace) Dn of Xn, such that for each n∈N, then X is a compact space; Every generalized ordered space is dually discrete. This gives a positive answer to a question of Buzyakova, Tkachuk and Wilson.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 155, Issue 16, 1 October 2008, Pages 1867-1874
Journal: Topology and its Applications - Volume 155, Issue 16, 1 October 2008, Pages 1867-1874