کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658702 1633110 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On monotone paracompactness
ترجمه فارسی عنوان
بر پاراکامپکتیو مونوتن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
چکیده انگلیسی
Gartside and Moody proved that a space is protometrizable if and only if it has a monotone star-refinement operator on open covers. They called this property monotone paracompactness but noted that it might be better termed monotone full-normality, and posed the problem of characterizing spaces with a monotone locally-finite operator on open covers. Stares studied related monotone properties but left the above problem open. We introduce Nötherianly locally-finite bases, show that protometrizable spaces have such bases, and that spaces with such bases have a monotone locally-finite operator and are monotonically normal. An example of a non-protometrizable LOTS due to Fuller is shown to have a Nötherianly locally-finite base. The product L(ω1)×(ω+1) though not hereditarily normal, has a monotone locally-finite operator, while M×(ω+1) (where M is the Michael line) does not.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 167, 15 April 2014, Pages 1-9
نویسندگان
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