کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904158 1633044 2018 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the metrization of PIGO spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On the metrization of PIGO spaces
چکیده انگلیسی
Properties weaker than monotone countable metacompactness are studied in PIGO and compact spaces. GO-spaces with a σ-closed-discrete dense subset and the NZ(ω)-property are metrizable generalizing results of Bennett, Hart and Lutzer and Peng and Li on monotonically countably metacompact spaces. NSR pair-families are introduced, and pair-bases that are NSR pair-families or countable unions of such pair-families are studied. By modifying results of Chase and Gruenhage, we show if a space X with a σ-NSR pair-base is compact, then X is metrizable, generalizing recent results by Chase and Gruenhage and some older results of Gruenhage and Nyikos. We show PIGO spaces with a σ-closed-discrete dense subset and a σ-NSR pair-base are metrizable. Relationships between these properties and others in the literature are also established.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 235, 15 February 2018, Pages 119-129
نویسندگان
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