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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
Properties weaker than monotone countable metacompactness are studied in PIGO and compact spaces. GO-spaces with a Ï-closed-discrete dense subset and the NZ(Ï)-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 Ï-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 Ï-closed-discrete dense subset and a Ï-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
Journal: Topology and its Applications - Volume 235, 15 February 2018, Pages 119-129
نویسندگان
John E. Porter,