کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6424693 | 1344250 | 2015 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Separation of diagonal in monotonically normal spaces and their products
ترجمه فارسی عنوان
جداسازی مورب در فضاهای منحصربفرد طبیعی و محصولات آنها
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
As separation of diagonal, we study when monotone normality implies Î-paracompactness or Î-normality. For that, it is proved that every monotonically normal space is Î-paracompact if the projection of its square is closed. Moreover, it is proved that every monotonically normal space is Î-normal if it has countable tightness (or countable extent). In particular, the parenthetic part is an affirmative answer to Burke and Buzyakova's problem in 2010. Secondly, we study the relation between normality and Î-paracompactness or Î-normality in certain products. For that, we additionally introduce two new neighborhood properties. Using these ones, it is proved that the product XÃK of a monotonically normal space X and a compact space K is Î-paracompact (respectively, Î-normal) if and only if X is Î-paracompact (respectively, Î-normal) and XÃK is normal.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 196, Part B, December 2015, Pages 1033-1059
Journal: Topology and its Applications - Volume 196, Part B, December 2015, Pages 1033-1059
نویسندگان
Yasushi Hirata, Yukinobu Yajima,